SlideShare ist ein Scribd-Unternehmen logo
1 von 2
Downloaden Sie, um offline zu lesen
Name:___________________________________________________ Date:__________ Hour:__________
Notes Sec. 8.1: Find Angle Measures in Polygons

Note: Unless otherwise stated, the term polygon refers to a convex polygon.

Divide the following polygons into smaller triangles. Use the least number of triangles possible.




# of sides      1        2       3        4        5        6        7        8       33       n
    # of
 triangles



The angles of a polygon: In a polygon with n sides, the sum of the angle measures is




Ex. 1: Find the sum of the interior angle measures of an octagon.




Exterior Angles of a Polygon:




       The sum of the exterior angles of any polygon is
Ex. 2: Find the measure of each interior angle.




               x°
                      5x°
            130°
                                       y°

       y°            (7x – 70)°




Ex. 3: Find the value of z.




                                     (7z + 120)°


                 (z2 + z)°


                                  (4z + 120)°   (z + 90)°

Weitere ähnliche Inhalte

Was ist angesagt?

Proove Mark&Sweep GC with Coq
Proove Mark&Sweep GC with CoqProove Mark&Sweep GC with Coq
Proove Mark&Sweep GC with CoqHiroki Mizuno
 
3 circumscribing a_triangle
3 circumscribing a_triangle3 circumscribing a_triangle
3 circumscribing a_triangleMedia4math
 
Mate factorización por binomio - 2º
Mate   factorización por binomio - 2ºMate   factorización por binomio - 2º
Mate factorización por binomio - 2ºbrisagaela29
 
C2 mate factorización por binomio - 5º
C2 mate   factorización por binomio - 5ºC2 mate   factorización por binomio - 5º
C2 mate factorización por binomio - 5ºbrisagaela29
 
4.5 sec and csc worked 3rd
4.5   sec and csc worked 3rd4.5   sec and csc worked 3rd
4.5 sec and csc worked 3rdJonna Ramsey
 
4.5 tan and cot.ppt worked
4.5   tan and cot.ppt worked4.5   tan and cot.ppt worked
4.5 tan and cot.ppt workedJonna Ramsey
 
Prim1_secx
Prim1_secxPrim1_secx
Prim1_secxofisico
 
OpenOpt の線形計画で圧縮センシング
OpenOpt の線形計画で圧縮センシングOpenOpt の線形計画で圧縮センシング
OpenOpt の線形計画で圧縮センシングToshihiro Kamishima
 
Graphing day 1 worked
Graphing day 1 workedGraphing day 1 worked
Graphing day 1 workedJonna Ramsey
 

Was ist angesagt? (20)

Proove Mark&Sweep GC with Coq
Proove Mark&Sweep GC with CoqProove Mark&Sweep GC with Coq
Proove Mark&Sweep GC with Coq
 
Sheet 2
Sheet 2Sheet 2
Sheet 2
 
3 circumscribing a_triangle
3 circumscribing a_triangle3 circumscribing a_triangle
3 circumscribing a_triangle
 
Mate factorización por binomio - 2º
Mate   factorización por binomio - 2ºMate   factorización por binomio - 2º
Mate factorización por binomio - 2º
 
C2 mate factorización por binomio - 5º
C2 mate   factorización por binomio - 5ºC2 mate   factorización por binomio - 5º
C2 mate factorización por binomio - 5º
 
Notes 10-5
Notes 10-5Notes 10-5
Notes 10-5
 
4.5 sec and csc worked 3rd
4.5   sec and csc worked 3rd4.5   sec and csc worked 3rd
4.5 sec and csc worked 3rd
 
4.5 tan and cot.ppt worked
4.5   tan and cot.ppt worked4.5   tan and cot.ppt worked
4.5 tan and cot.ppt worked
 
Day 3 examples
Day 3 examplesDay 3 examples
Day 3 examples
 
Longitud de curvas
Longitud de curvasLongitud de curvas
Longitud de curvas
 
Test
TestTest
Test
 
Ejercicio1
Ejercicio1Ejercicio1
Ejercicio1
 
RM FUNCIONAL
RM FUNCIONALRM FUNCIONAL
RM FUNCIONAL
 
Prim1_secx
Prim1_secxPrim1_secx
Prim1_secx
 
Nora
NoraNora
Nora
 
OpenOpt の線形計画で圧縮センシング
OpenOpt の線形計画で圧縮センシングOpenOpt の線形計画で圧縮センシング
OpenOpt の線形計画で圧縮センシング
 
2008 june 5
2008 june 52008 june 5
2008 june 5
 
xray at SciPy 2015
xray at SciPy 2015xray at SciPy 2015
xray at SciPy 2015
 
Graphing day 1 worked
Graphing day 1 workedGraphing day 1 worked
Graphing day 1 worked
 
Algoritmo da adição
Algoritmo da adiçãoAlgoritmo da adição
Algoritmo da adição
 

Ähnlich wie 8.1 angle meas in polygons

Geometry 201 unit 3.2
Geometry 201 unit 3.2Geometry 201 unit 3.2
Geometry 201 unit 3.2Mark Ryder
 
Solid geometry ii slide
Solid geometry ii   slideSolid geometry ii   slide
Solid geometry ii slideRaihana Azman
 
Ppt Understanding Quadrilaterals (Module 1) Class VIII.pptx
Ppt Understanding Quadrilaterals (Module 1) Class VIII.pptxPpt Understanding Quadrilaterals (Module 1) Class VIII.pptx
Ppt Understanding Quadrilaterals (Module 1) Class VIII.pptxSavidha Nair
 
Section 6.2.pdf
Section 6.2.pdfSection 6.2.pdf
Section 6.2.pdfCalculusII
 
Day 3 Angles In Polygons
Day 3 Angles In PolygonsDay 3 Angles In Polygons
Day 3 Angles In PolygonsErik Tjersland
 
FYBSc Sem II Journal 2022 - 23.docx
FYBSc Sem II Journal 2022 - 23.docxFYBSc Sem II Journal 2022 - 23.docx
FYBSc Sem II Journal 2022 - 23.docxNamrata Ajwani
 
Day 3 angles in polygons
Day 3 angles in polygonsDay 3 angles in polygons
Day 3 angles in polygonsErik Tjersland
 
Triangle Sum Theorem
Triangle Sum TheoremTriangle Sum Theorem
Triangle Sum Theoremlothomas
 
Interior-and-Exterior-Angles-of-Polygons.ppt
Interior-and-Exterior-Angles-of-Polygons.pptInterior-and-Exterior-Angles-of-Polygons.ppt
Interior-and-Exterior-Angles-of-Polygons.pptJeraldelEncepto
 
Ppt Understanding Quadrilaterals (Module 1) Class VIII.pptx
Ppt Understanding Quadrilaterals (Module 1) Class VIII.pptxPpt Understanding Quadrilaterals (Module 1) Class VIII.pptx
Ppt Understanding Quadrilaterals (Module 1) Class VIII.pptxCBSEcoordinatorGMRCV
 
Ch 10 quiz review
Ch 10 quiz reviewCh 10 quiz review
Ch 10 quiz reviewmlabuski
 
Geometry unit 6.1
Geometry unit 6.1Geometry unit 6.1
Geometry unit 6.1Mark Ryder
 
ANIMATION REPORTING1.pptxb fxcvvbnm fxbm
ANIMATION REPORTING1.pptxb fxcvvbnm fxbmANIMATION REPORTING1.pptxb fxcvvbnm fxbm
ANIMATION REPORTING1.pptxb fxcvvbnm fxbmRorelayEntero
 
Wynberg girls high-louise keegan-maths-grade11-trigonometry revision
Wynberg girls high-louise keegan-maths-grade11-trigonometry revisionWynberg girls high-louise keegan-maths-grade11-trigonometry revision
Wynberg girls high-louise keegan-maths-grade11-trigonometry revisionWynberg Girls High
 
Properties of triangles
Properties of trianglesProperties of triangles
Properties of trianglesDreams4school
 

Ähnlich wie 8.1 angle meas in polygons (20)

Hprec6 4
Hprec6 4Hprec6 4
Hprec6 4
 
Geometry 201 unit 3.2
Geometry 201 unit 3.2Geometry 201 unit 3.2
Geometry 201 unit 3.2
 
Solid geometry ii slide
Solid geometry ii   slideSolid geometry ii   slide
Solid geometry ii slide
 
Ppt Understanding Quadrilaterals (Module 1) Class VIII.pptx
Ppt Understanding Quadrilaterals (Module 1) Class VIII.pptxPpt Understanding Quadrilaterals (Module 1) Class VIII.pptx
Ppt Understanding Quadrilaterals (Module 1) Class VIII.pptx
 
Section 6.2.pdf
Section 6.2.pdfSection 6.2.pdf
Section 6.2.pdf
 
Day 3 Angles In Polygons
Day 3 Angles In PolygonsDay 3 Angles In Polygons
Day 3 Angles In Polygons
 
Splay Tree
Splay TreeSplay Tree
Splay Tree
 
Level 2
Level 2Level 2
Level 2
 
Poligonos
PoligonosPoligonos
Poligonos
 
FYBSc Sem II Journal 2022 - 23.docx
FYBSc Sem II Journal 2022 - 23.docxFYBSc Sem II Journal 2022 - 23.docx
FYBSc Sem II Journal 2022 - 23.docx
 
Day 3 angles in polygons
Day 3 angles in polygonsDay 3 angles in polygons
Day 3 angles in polygons
 
Triangle Sum Theorem
Triangle Sum TheoremTriangle Sum Theorem
Triangle Sum Theorem
 
Interior-and-Exterior-Angles-of-Polygons.ppt
Interior-and-Exterior-Angles-of-Polygons.pptInterior-and-Exterior-Angles-of-Polygons.ppt
Interior-and-Exterior-Angles-of-Polygons.ppt
 
Ppt Understanding Quadrilaterals (Module 1) Class VIII.pptx
Ppt Understanding Quadrilaterals (Module 1) Class VIII.pptxPpt Understanding Quadrilaterals (Module 1) Class VIII.pptx
Ppt Understanding Quadrilaterals (Module 1) Class VIII.pptx
 
Ch 10 quiz review
Ch 10 quiz reviewCh 10 quiz review
Ch 10 quiz review
 
Hprec8 2
Hprec8 2Hprec8 2
Hprec8 2
 
Geometry unit 6.1
Geometry unit 6.1Geometry unit 6.1
Geometry unit 6.1
 
ANIMATION REPORTING1.pptxb fxcvvbnm fxbm
ANIMATION REPORTING1.pptxb fxcvvbnm fxbmANIMATION REPORTING1.pptxb fxcvvbnm fxbm
ANIMATION REPORTING1.pptxb fxcvvbnm fxbm
 
Wynberg girls high-louise keegan-maths-grade11-trigonometry revision
Wynberg girls high-louise keegan-maths-grade11-trigonometry revisionWynberg girls high-louise keegan-maths-grade11-trigonometry revision
Wynberg girls high-louise keegan-maths-grade11-trigonometry revision
 
Properties of triangles
Properties of trianglesProperties of triangles
Properties of triangles
 

Kürzlich hochgeladen

Optical Fibre and It's Applications.pptx
Optical Fibre and It's Applications.pptxOptical Fibre and It's Applications.pptx
Optical Fibre and It's Applications.pptxPurva Nikam
 
Quality Assurance_GOOD LABORATORY PRACTICE
Quality Assurance_GOOD LABORATORY PRACTICEQuality Assurance_GOOD LABORATORY PRACTICE
Quality Assurance_GOOD LABORATORY PRACTICESayali Powar
 
2024.03.23 What do successful readers do - Sandy Millin for PARK.pptx
2024.03.23 What do successful readers do - Sandy Millin for PARK.pptx2024.03.23 What do successful readers do - Sandy Millin for PARK.pptx
2024.03.23 What do successful readers do - Sandy Millin for PARK.pptxSandy Millin
 
How to Add a New Field in Existing Kanban View in Odoo 17
How to Add a New Field in Existing Kanban View in Odoo 17How to Add a New Field in Existing Kanban View in Odoo 17
How to Add a New Field in Existing Kanban View in Odoo 17Celine George
 
How to Add Existing Field in One2Many Tree View in Odoo 17
How to Add Existing Field in One2Many Tree View in Odoo 17How to Add Existing Field in One2Many Tree View in Odoo 17
How to Add Existing Field in One2Many Tree View in Odoo 17Celine George
 
Diploma in Nursing Admission Test Question Solution 2023.pdf
Diploma in Nursing Admission Test Question Solution 2023.pdfDiploma in Nursing Admission Test Question Solution 2023.pdf
Diploma in Nursing Admission Test Question Solution 2023.pdfMohonDas
 
HED Office Sohayok Exam Question Solution 2023.pdf
HED Office Sohayok Exam Question Solution 2023.pdfHED Office Sohayok Exam Question Solution 2023.pdf
HED Office Sohayok Exam Question Solution 2023.pdfMohonDas
 
The Stolen Bacillus by Herbert George Wells
The Stolen Bacillus by Herbert George WellsThe Stolen Bacillus by Herbert George Wells
The Stolen Bacillus by Herbert George WellsEugene Lysak
 
How to Create a Toggle Button in Odoo 17
How to Create a Toggle Button in Odoo 17How to Create a Toggle Button in Odoo 17
How to Create a Toggle Button in Odoo 17Celine George
 
Prescribed medication order and communication skills.pptx
Prescribed medication order and communication skills.pptxPrescribed medication order and communication skills.pptx
Prescribed medication order and communication skills.pptxraviapr7
 
3.21.24 The Origins of Black Power.pptx
3.21.24  The Origins of Black Power.pptx3.21.24  The Origins of Black Power.pptx
3.21.24 The Origins of Black Power.pptxmary850239
 
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptxClinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptxraviapr7
 
Ultra structure and life cycle of Plasmodium.pptx
Ultra structure and life cycle of Plasmodium.pptxUltra structure and life cycle of Plasmodium.pptx
Ultra structure and life cycle of Plasmodium.pptxDr. Asif Anas
 
Vani Magazine - Quarterly Magazine of Seshadripuram Educational Trust
Vani Magazine - Quarterly Magazine of Seshadripuram Educational TrustVani Magazine - Quarterly Magazine of Seshadripuram Educational Trust
Vani Magazine - Quarterly Magazine of Seshadripuram Educational TrustSavipriya Raghavendra
 
Education and training program in the hospital APR.pptx
Education and training program in the hospital APR.pptxEducation and training program in the hospital APR.pptx
Education and training program in the hospital APR.pptxraviapr7
 
Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.EnglishCEIPdeSigeiro
 
How to Manage Cross-Selling in Odoo 17 Sales
How to Manage Cross-Selling in Odoo 17 SalesHow to Manage Cross-Selling in Odoo 17 Sales
How to Manage Cross-Selling in Odoo 17 SalesCeline George
 
10 Topics For MBA Project Report [HR].pdf
10 Topics For MBA Project Report [HR].pdf10 Topics For MBA Project Report [HR].pdf
10 Topics For MBA Project Report [HR].pdfJayanti Pande
 

Kürzlich hochgeladen (20)

Optical Fibre and It's Applications.pptx
Optical Fibre and It's Applications.pptxOptical Fibre and It's Applications.pptx
Optical Fibre and It's Applications.pptx
 
Quality Assurance_GOOD LABORATORY PRACTICE
Quality Assurance_GOOD LABORATORY PRACTICEQuality Assurance_GOOD LABORATORY PRACTICE
Quality Assurance_GOOD LABORATORY PRACTICE
 
2024.03.23 What do successful readers do - Sandy Millin for PARK.pptx
2024.03.23 What do successful readers do - Sandy Millin for PARK.pptx2024.03.23 What do successful readers do - Sandy Millin for PARK.pptx
2024.03.23 What do successful readers do - Sandy Millin for PARK.pptx
 
How to Add a New Field in Existing Kanban View in Odoo 17
How to Add a New Field in Existing Kanban View in Odoo 17How to Add a New Field in Existing Kanban View in Odoo 17
How to Add a New Field in Existing Kanban View in Odoo 17
 
How to Add Existing Field in One2Many Tree View in Odoo 17
How to Add Existing Field in One2Many Tree View in Odoo 17How to Add Existing Field in One2Many Tree View in Odoo 17
How to Add Existing Field in One2Many Tree View in Odoo 17
 
Diploma in Nursing Admission Test Question Solution 2023.pdf
Diploma in Nursing Admission Test Question Solution 2023.pdfDiploma in Nursing Admission Test Question Solution 2023.pdf
Diploma in Nursing Admission Test Question Solution 2023.pdf
 
HED Office Sohayok Exam Question Solution 2023.pdf
HED Office Sohayok Exam Question Solution 2023.pdfHED Office Sohayok Exam Question Solution 2023.pdf
HED Office Sohayok Exam Question Solution 2023.pdf
 
The Stolen Bacillus by Herbert George Wells
The Stolen Bacillus by Herbert George WellsThe Stolen Bacillus by Herbert George Wells
The Stolen Bacillus by Herbert George Wells
 
How to Create a Toggle Button in Odoo 17
How to Create a Toggle Button in Odoo 17How to Create a Toggle Button in Odoo 17
How to Create a Toggle Button in Odoo 17
 
Prescribed medication order and communication skills.pptx
Prescribed medication order and communication skills.pptxPrescribed medication order and communication skills.pptx
Prescribed medication order and communication skills.pptx
 
3.21.24 The Origins of Black Power.pptx
3.21.24  The Origins of Black Power.pptx3.21.24  The Origins of Black Power.pptx
3.21.24 The Origins of Black Power.pptx
 
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptxClinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptx
 
Personal Resilience in Project Management 2 - TV Edit 1a.pdf
Personal Resilience in Project Management 2 - TV Edit 1a.pdfPersonal Resilience in Project Management 2 - TV Edit 1a.pdf
Personal Resilience in Project Management 2 - TV Edit 1a.pdf
 
Ultra structure and life cycle of Plasmodium.pptx
Ultra structure and life cycle of Plasmodium.pptxUltra structure and life cycle of Plasmodium.pptx
Ultra structure and life cycle of Plasmodium.pptx
 
Vani Magazine - Quarterly Magazine of Seshadripuram Educational Trust
Vani Magazine - Quarterly Magazine of Seshadripuram Educational TrustVani Magazine - Quarterly Magazine of Seshadripuram Educational Trust
Vani Magazine - Quarterly Magazine of Seshadripuram Educational Trust
 
Education and training program in the hospital APR.pptx
Education and training program in the hospital APR.pptxEducation and training program in the hospital APR.pptx
Education and training program in the hospital APR.pptx
 
Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.
 
How to Manage Cross-Selling in Odoo 17 Sales
How to Manage Cross-Selling in Odoo 17 SalesHow to Manage Cross-Selling in Odoo 17 Sales
How to Manage Cross-Selling in Odoo 17 Sales
 
March 2024 Directors Meeting, Division of Student Affairs and Academic Support
March 2024 Directors Meeting, Division of Student Affairs and Academic SupportMarch 2024 Directors Meeting, Division of Student Affairs and Academic Support
March 2024 Directors Meeting, Division of Student Affairs and Academic Support
 
10 Topics For MBA Project Report [HR].pdf
10 Topics For MBA Project Report [HR].pdf10 Topics For MBA Project Report [HR].pdf
10 Topics For MBA Project Report [HR].pdf
 

8.1 angle meas in polygons

  • 1. Name:___________________________________________________ Date:__________ Hour:__________ Notes Sec. 8.1: Find Angle Measures in Polygons Note: Unless otherwise stated, the term polygon refers to a convex polygon. Divide the following polygons into smaller triangles. Use the least number of triangles possible. # of sides 1 2 3 4 5 6 7 8 33 n # of triangles The angles of a polygon: In a polygon with n sides, the sum of the angle measures is Ex. 1: Find the sum of the interior angle measures of an octagon. Exterior Angles of a Polygon: The sum of the exterior angles of any polygon is
  • 2. Ex. 2: Find the measure of each interior angle. x° 5x° 130° y° y° (7x – 70)° Ex. 3: Find the value of z. (7z + 120)° (z2 + z)° (4z + 120)° (z + 90)°