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The area of this polygon is 162 square meters.

What is the length of the side labeled with a question mark?

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The area of this polygon is 162 square meters. What is the length of the side labeled-example-1
User Ygbr
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2 Answers

2 votes

Answer:20

Explanation:

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User Viren
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5 votes

Answer:

A 162° interior angle at each vertex means that the deflection angle (the amount by which the next side deflects from the course of the current side) is 180°-162°=18°. Since deflecting 360° takes you back to where you started, the number of sides is given by:

n = 360°/DeflectionPerVertex = 360°/18° = 20.

Hence the polygon has 20 sides and 20 vertices.

Explanation:

User Rakesh Yadav
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