Answer:
polygon has 12 sides
Explanation:
the sum of the exterior angles of a polygon is 360°
the sum of the interior angles of a polygon is
sum = 180° (n - 2 ) ← n is the number of sides
given the sum of the interior angles is 5 times sum of exterior angles, then
sum = 5 × 360° = 1800° then
180° (n - 2) = 1800 ( divide both sides by 180 )
n - 2 = 10 ( add 2 to both sides )
n = 12
Thus the polygon has 12 sides