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A Blank 1 Question 21 with Blank 2 Question 21 sides has a sum of the interior angles of 1980° and each individual angle is

Question

A Blank 1 Question 21 with Blank 2 Question 21 sides has a sum of the interior angles of 1980° and each individual angle is

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Solution

The sum of the interior angles of a polygon is given by the formula (n-2) * 180°, where n is the number of sides.

Given that the sum of the interior angles is 1980°, we can set up the equation:

(n-2) * 180° = 1980°

Solving for n gives us:

n - 2 = 1980° / 180° n - 2 = 11 n = 13

So, the polygon (Blank 1) is a 13-gon or tridecagon.

The measure of each individual angle in a regular polygon (where all angles are equal) is given by the formula (n-2) * 180° / n.

Given that the polygon is regular and has 13 sides, we can calculate:

(n-2) * 180° / n = (13-2) * 180° / 13 = 11 * 180° / 13 ≈ 152.31°

So, each individual angle (Blank 2) is approximately 152.31°.

This problem has been solved

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