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.
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