The polygon will be a triangle if the measure of each exterior angle is twice as large as each interior angle.
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.
As we know, the interior angle is given by:
= 180(n - 2)
Sum of the exterior angle is 360 degree
(360/n) = 2[180(n - 2)]/n
360 = 360(n - 2)
n = 3
Number of sides n = 3
Polygon will be a triangle
Thus, the polygon will be a triangle if the measure of each exterior angle is twice as large as each interior angle.
Learn more about the regular polygon here:
brainly.com/question/11810316
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