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Find the measure of one interior angle for the following regular polygon

Find the measure of one interior angle for the following regular polygon-example-1
User Axel Morgner
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3.1k points

2 Answers

7 votes
7 votes

Answer: 108 degrees

Explanation:

User Stram
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2.9k points
14 votes
14 votes

Answer:

108 degrees

Explanation:

The formula for the total sum of the angles in any REGULAR shape is


(n-2) * 180, where n represents the number of sides.

The shape in the picture shown is a pentagon (5 sides).


(5-2) * 180\\


3 * 180

=
540

So the angle sum is 540 degrees.

Again, we are told that it is a regular polygon, meaning all sides and angles in the shape are equal.

So to find one angle, just divide it by the number of sides.


540/5 = 108

User Kalik
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3.3k points