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?
CLASSWORK Complete Polygon Angle Sum Worksheet
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?
INTERIOR ANGLE SUM Interior Angle Sum = # of angles * measure of one interior angle
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
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.
EXAMPLE Find the measure of an exterior and an interior angle for the figure.
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