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Q4.

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Pre-algebra
Found in: Page 700
Pre-algebra

Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

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Short Answer

Find the measure of an exterior angle of a regular pentagon.

The measure of an exterior angle of a regular pentagon is 72°.

See the step by step solution

Step by Step Solution

Step 1. Given Information.

The polygon is regular pentagon.

Step 2. Formula used.

All exterior angles of a regular polygon are equal and the measure of an exterior angle of regular n-gon, is 180-n-2×180°n.

Step 3. Calculation.

Here, polygon is regular pentagon that is n=5.

Calculate the measure of the exterior angle by substituting 5 for n.

180°52×180°5=180°3×180°5=180°108°=72°

Step 4. Conclusion.

The measure of an exterior angle of a regular pentagon is 72°.

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