Question

for which polygon does the sum of the measures of the interior angles equal the sum of the measure of the exterior angles
A. hexagon
B.pentagon
C. quadrilateral
D.triangle

Answer 1

It's going to be (C), the quadrilateral. Mathematically, the sum of the interior angles in a polygon with s sides is (in degrees): 180 * (s - 2). Also, the sum of the exterior angles is just 180 * s - the sum of the interior angles. So, for the sum of the interior angles to equal the sum of the exterior angles, s - 2 must be 0.5s. So, s = 4.

You could also use a square as an example. In a square, each interior and exterior angle is 90 degrees, so the sums are equal.

Answer 2

thank you!!!