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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°.

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°.

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°.

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