Question

HELP DUE IN 10 MINS!

Find the sum of the interior angles 1. interior angle sum =?? degrees

Find the measure of one interior angle. 2. one interior angle: ?? degrees

Answer 1

Sum of Interior Angles = 1,440º

Each Interior Angle = 144º

Explanation:

Sum of Interior Angles = (n − 2) × 180°

Each Interior Angle (of a Regular Polygon) = (n − 2) × 180° / n

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10 sided regular polygon

Sum of Interior Angles = (10 − 2) × 180º

Sum of Interior Angles = 1,440º

Each Interior Angle = (10 − 2) × 180º / 10

Each Interior Angle = 144º

Answer 2

Sum of interior angles = 1440°

One of the interior angle = 144°

Explanation:

This figure have 10 sides so it's called a Decagon

Sum of all interior angles of Decagon : 180 ( n - 2), where n = number of sides the polygon has.

=> 180 (10 - 2) = 1440

To find one of the interior angle : 1440 / 10 = 144

Hope this helps!