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Please help with a rapid reply you will get 60 points-Given the five-sided figure below with interior angle measures as shown. What is the value of X?

Please help with a rapid reply you will get 60 points-Given the five-sided figure-example-1

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To find the value of X in the five-sided figure, we can use the fact that the sum of the interior angles of a polygon with n sides is given by the formula:

Sum of interior angles = (n - 2) * 180 degrees

In this case, since we have a five-sided figure (pentagon), the sum of the interior angles is:

Sum of interior angles = (5 - 2) * 180 degrees = 3 * 180 degrees = 540 degrees

We are given the measures of four interior angles: 108, 131, 134, and 95 degrees. Let's denote the missing angle as X.

To find the value of X, we can subtract the sum of the given angles from the total sum of interior angles:

X + 108 + 131 + 134 + 95 = 540

Combining the known angles:

X + 468 = 540

Subtracting 468 from both sides:

X = 540 - 468

X = 72

Therefore, the value of X in the five-sided figure is 72 degrees.

HOPE THIS HELPS

User Keith Costa
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