Find the value of each angle.​

Answer + Explanation:

First, find what the sum of the interior angles must be. You can use the formula 180(n - 2) where n is the number of sides to find this.

n = 5, so 180( 5 - 2) = 180 * 3 = 540 degrees.

Then, you can add up all the interior angles of the pentagon and it will add to 540. This means that:

2x + x + 2x + 90 + 90 = 540

5x + 180 = 540

5x = 360

x = 72

Then you can go through and find the measure of each angle:

S = 90 degrees (given)

T = 2x = 2 * 72 = 144 degrees

U = x = 72 degrees

V = 2x = 72 * 2 = 144 degrees

W = 90 degrees (given)

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