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What is the sum of the interior angles of the polygon shown below?

What is the sum of the interior angles of the polygon shown below?-example-1

2 Answers

2 votes

Explanation:

This is a regular decagon, therefore it is classified as a convex polygon.

The formula for the sum of the interior angles of a polygon of this classification is as follows: I=180 degrees (n - 2), where I=measure of the interior angles and n=number of sides.

Solve.

n=10 (decagon)

I=180 (10 - 2)

I=180 (8)

I=1440

User Kenota
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6 votes

Answer:

1440º

Explanation:

The sum of the interior angles of a regular polygon of 10 sides = 10*[180 - (360/10)] = 10(180–36) = 10*144 = 1440º

Sorry if some people don't understand, I tried my best to show how I did it.

User John Ewart
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