2. ANGLES OF POLYGONS
How do I find the sum of the measures of the interior angles
of a polygon?
How do I find the sum of the measures of the exterior angles
of a polygon?
4. INTERIOR ANGLE SUM THEOREM
Theorem 8.1 – If a convex polygon has n sides and S is the
sum of the measures of its interior angles, then
S=180(n-2)
What is the sum of the interior angles of a octagon?
5. INTERIOR ANGLE SUM
Interior Angle Sum = # of angles * measure of one interior angle
6. EXAMPLES
The measure of an interior angle of a regular polygon is 135.
Find the number of sides in the polygon.
Find the measure of each interior angle.
S T
R U
7. EXTERIOR ANGLE SUM THEOREM
Theorem 8.2 – If a polygon is convex, then the sum of the
measures of the exterior angles, one at each vertex, is 360.
8. EXAMPLE
Find the measure of an exterior and an interior angle for the
figure.
10. LESSON PLAN
Intro
This chapter is all about Quadrilaterals. First we need to work on
figuring out the measures of interior and exterior angles in a polygon.
Standards- 8.1 (Power)
Supplies – slides, whiteboard, handout, rulers, protractors and
book
Timing - 1 day (block), 1 review day and a quiz
Essential Questions- slide 2
Input – slides 4 and 6
Guided Practice – slides 4, 5 and 7
Independent Practice – Bookwork