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Chapter 3: Q42. (page 115)

In a decagon, the sum of the measures of the exterior angles is _?_.

Short Answer

Expert verified

In a decagon, the sum of measures of the exterior angles is360掳.

Step by step solution

01

Step 1. Find the theorem or postulate that can be used.

According to theorem 3-14, the sum of the measures of the exterior angles of any convex polygon, one angle at each vertex is 360掳.

02

Step 2. Find the number of sides of convex decagon.

The convex decagon is a convex polygon whose number of sides is 10.

03

Step 3. Draw the conclusion.

As the convex decagon is a convex polygon with number of sides being 10, the sum of the measures of the exterior angles, one at each vertex is 360掳.

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