The measure of the angle x is 100 degree if the polygon has 5 sides. The interior angle measures are 117°, 104°, 113°, 106°,
What is a regular polygon?
A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We know the sum of the interior angles in a polygon is given by:
= 180(n - 2)
= 180(5-2) (n = 5)
= 540 degree
117°+104°+113°+106°+x = 540
440 + x = 540
x = 100 degree
Thus, the measure of the angle x is 100 degree if the polygon has 5 sides. The interior angle measures are 117°, 104°, 113°, 106°,
Learn more about the regular polygon here:
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