 # WARM UP: 0 You know the meaning of equilateral. What do you think an equiangular polygon is? 0.

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WARM UP: 0 You know the meaning of equilateral. What do you think an equiangular polygon is? 0

6.1 - The Polygon Angle-Sum Theorems I can find the sum of the measures of the interior angles of a polygon. I can find the sum of the measures of the exterior angles of a polygon.

Theorem 6-1 0 The sum of the interior angle measures of a polygon depends on the number of sides the polygon has. Polygon Angle-Sum Theorem The sum of the measures of the ______________of an n-gon is ______________________.

Problem: Finding a Polygon Angle Sum 0 What is the sum of the interior angle measures of a heptagon?

Problem: Finding a Polygon Angle Sum 0 What is the sum of the interior angle measures of a 17-gon? 0 The sum of the interior angle measures of a polygon is 1980. How can you find the number of sides in the polygon?

Problem: Finding a Polygon Angle Sum 0 What is the sum of the angle measures of a 10-gon?

Corollary to the Polygon Angle-Sum Theorem The measure of _____________________________________n-gon is _________________.

Problem: Using the Polygon Angle-Sum Theorem 0 The common housefly, Musca domestica, has eyes that consist of approximately 4000 facets. Each facet is a regular hexagon. What is the measure of each interior angle in one hexagonal facet?

Problem: Using the Polygon Angle-Sum Theorem 0 What is the measure of each interior angle in a regular nonagon?

Problem: Using the Polygon Angle-Sum Theorem 0 Marcy creates a floor tile pattern using squares, regular hexagons, and regular dodecagons. What is the measure of each angle in one regular dodecagon?

Problem: Using the Polygon Angle-Sum Theorem 0 What is m<Y in pentagon TODAY?

Problem: Using the Polygon Angle-Sum Theorem 0 What is m<G in quadrilateral EFGH?

Problem: Using the Polygon Angle-Sum Theorem 0 What is m<D in quadrilateral ABCD?

Theorem 6 – 2 Polygon Exterior Angle-Sum Theorem The sum of the measures of the __________________________of a polygon, one at each vertex, is ________.

Problem: Finding an Exterior Angle Measure 0 What is m<1 in the regular octagon?

Problem: Finding an Exterior Angle Measure 0 What is the measure of an exterior angle of a regular nonagon?

Problem: Finding an Exterior Angle Measure 0 What is the measure of an exterior angle of a regular hexagon?

After: Lesson Check 1. What is the sum of the interior angle measures of an 11-gon? 2. What is the sum of the measures of the exterior angles of a 15-gon? 3. Find the measures of an interior angle and an exterior angle of a regular decagon?

Homework: Page 356, #7 – 23 all, 29, 33, 35

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