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Q3.

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Pre-algebra
Found in: Page 701
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

In Exercise 3-6, match the description with correct value.

Sum of measures of interior angles of a convex heptagon. 360°

The sum of the measures of all interior angles of a convex heptagon is 900°.

See the step by step solution

Step by Step Solution

Step 1: Given information. 

Here, the polygon is convex heptagon.

Step 2: Formula used. 

The sum of the measure of the all interior angles of a convex n-gon is n-2×180°.

Step 3: Calculation. 

Here, polygon is convex heptagon this implies that n=7.

Therefore, the sum of the all interior angle of a convex heptagon is,

n2×180°=72×180°=5×180°=900°

Therefore, the sum of the measures of all interior angles of a convex heptagon is.

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