lesson 3.5 aim: the polygon exterior angle sum theorem do now: find the measure of angle a. step 1:...

Lesson 3.5 AIM: The Polygon Exterior Angle Sum Theorem Do Now: Find the measure of Angle A. Step 1: How many sides in the shape? 5 sides Step 2: Sum of Interior Angles? (n - 2)180 (5 - 2)180 = 540º Step 3: Subtract Given Angles.

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Lesson 3.5AIM: The Polygon Exterior

Angle Sum TheoremDo Now: Find the measure of Angle A.

Step 1: How many sides in the shape?

5 sides

Step 2: Sum of Interior Angles?

(n - 2)180

(5 - 2)180 = 540º

Step 3: Subtract Given Angles.

540 - 113 - 80 - 130 - 90 = 127º

Page 2: Lesson 3.5 AIM: The Polygon Exterior Angle Sum Theorem Do Now: Find the measure of Angle A. Step 1: How many sides in the shape? 5 sides Step 2: Sum of

The sum of the measures of the exterior angles in a polygon is

360º

Page 3: Lesson 3.5 AIM: The Polygon Exterior Angle Sum Theorem Do Now: Find the measure of Angle A. Step 1: How many sides in the shape? 5 sides Step 2: Sum of

The sum of an exterior and interior angle is

180º

Page 4: Lesson 3.5 AIM: The Polygon Exterior Angle Sum Theorem Do Now: Find the measure of Angle A. Step 1: How many sides in the shape? 5 sides Step 2: Sum of

Find the value of x.

The sum of exterior angles = 360º

x + 2x + 85 + 95 = 3603x + 180 = 360 - 180 -1803x = 1803 3x = 60º

Page 5: Lesson 3.5 AIM: The Polygon Exterior Angle Sum Theorem Do Now: Find the measure of Angle A. Step 1: How many sides in the shape? 5 sides Step 2: Sum of

Find the number of sides of the regular polygon with the exterior angle measure

of 60º.

a. What is the measure of one of the interior angles?180 - 60 = 120º

b. Use the polygon exterior angle theorem to find the number of sides.

360º ÷ 60º= 6 sides

Page 6: Lesson 3.5 AIM: The Polygon Exterior Angle Sum Theorem Do Now: Find the measure of Angle A. Step 1: How many sides in the shape? 5 sides Step 2: Sum of

Summary Question

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