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Angle Relationships
-  angle   -   obtuse angle -   degrees  -   straight angle -   vertex  -   complementary angle -   congruent angles  -   supplementary angle -   right angle  -   perpendicular angle -   acute angle -   Classify angles.
7.6  The student compares and classifies two- and three-dimensional figures using geometric vocabulary and properties.  (A)   use angle measurements to classify pairs of angles as complementary or supplementary.
Here’s a few definitions to get us started!!! Angle : it has two sides that share a common endpoint Vertex : the point where the sides meet A B C 1 This angle can be named 4 different ways: ABC,  CAB,  B,  1
Naming Angles Name the angle to the right.    The angle can be named in four ways:     FGH ,   HGF ,   G ,   2.
[object Object],[object Object],[object Object],[object Object],A.  RST B.  T C.  3 D.  S Which of the following is not a name for the angle below?
Take a minute to write this in your own personal notes so you don’t have to keep coming back to this slide.
Classify Angles Classify the angle as  acute ,  obtuse ,  right , or  straight . Answer:   The angle is exactly 180°, so it is a straight angle.
[object Object],[object Object],[object Object],[object Object],A. acute B. obtuse C. right D. straight Classify the angle as  acute ,  obtuse ,  right , or  straight .
Classify Angles Classify the angle as  acute ,  obtuse ,  right , or  straight . Answer:   The angle is less than 90°, so it is an acute angle.
[object Object],[object Object],[object Object],[object Object],A. acute B. obtuse C. right D. straight Classify the angle as  acute ,  obtuse ,  right , or  straight .
Take a minute to write this in your own personal notes so you don’t have to keep coming back to this slide.
Remember:   C comes before S in the alphabet and 90 comes before 180,  so that’s an easy way to remember complementary is 90 degrees and supplementary is 180 degrees.
Classify Angles Classify the pair of angles as  complementary ,  supplementary , or  neither . 128 ° + 52° = 180° Answer:   The angles are supplementary.
[object Object],[object Object],[object Object],[object Object],A. complementary B. supplementary C. neither D. acute Classify the pair of angles as  complementary ,  supplementary , or  neither .
Classify Angles Classify the pair of angles as  complementary ,  supplementary , or  neither .  x  and   y  form a right angle. Answer:   So, the angles are complementary.
[object Object],[object Object],[object Object],[object Object],A. complementary B. supplementary C. neither D. not enough information Classify the pair of angles as  complementary ,  supplementary , or  neither .
Find a Missing Angle Measure Angles  PQS  and  RQS  are supplementary. If  m  PQS  = 56°, find  m  RQS . Words The sum of the measures of   PQS   and   RQS  is 180°. Variable Let  x  represent the measure of   RQS . Equation 56 +  x  = 180
Find a Missing Angle Measure Answer:   The measure of   RQS   is 124°.
[object Object],[object Object],[object Object],[object Object],A. 22° B. 67° C. 157°   D. 337° Angles  MNP  and  KNP  are complementary.  If  m  MNP  = 23°, find  m  KNP .

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Angle Relationships Power Point

  • 2. - angle - obtuse angle - degrees - straight angle - vertex - complementary angle - congruent angles - supplementary angle - right angle - perpendicular angle - acute angle - Classify angles.
  • 3. 7.6 The student compares and classifies two- and three-dimensional figures using geometric vocabulary and properties. (A) use angle measurements to classify pairs of angles as complementary or supplementary.
  • 4. Here’s a few definitions to get us started!!! Angle : it has two sides that share a common endpoint Vertex : the point where the sides meet A B C 1 This angle can be named 4 different ways: ABC, CAB, B, 1
  • 5. Naming Angles Name the angle to the right.  The angle can be named in four ways:  FGH ,  HGF ,  G ,  2.
  • 6.
  • 7. Take a minute to write this in your own personal notes so you don’t have to keep coming back to this slide.
  • 8. Classify Angles Classify the angle as acute , obtuse , right , or straight . Answer: The angle is exactly 180°, so it is a straight angle.
  • 9.
  • 10. Classify Angles Classify the angle as acute , obtuse , right , or straight . Answer: The angle is less than 90°, so it is an acute angle.
  • 11.
  • 12. Take a minute to write this in your own personal notes so you don’t have to keep coming back to this slide.
  • 13. Remember: C comes before S in the alphabet and 90 comes before 180, so that’s an easy way to remember complementary is 90 degrees and supplementary is 180 degrees.
  • 14. Classify Angles Classify the pair of angles as complementary , supplementary , or neither . 128 ° + 52° = 180° Answer: The angles are supplementary.
  • 15.
  • 16. Classify Angles Classify the pair of angles as complementary , supplementary , or neither .  x and  y form a right angle. Answer: So, the angles are complementary.
  • 17.
  • 18. Find a Missing Angle Measure Angles PQS and RQS are supplementary. If m  PQS = 56°, find m  RQS . Words The sum of the measures of  PQS and  RQS is 180°. Variable Let x represent the measure of  RQS . Equation 56 + x = 180
  • 19. Find a Missing Angle Measure Answer: The measure of  RQS is 124°.
  • 20.