Problema Solution
if the sum of the interior angles of a polygon is five times the sum of its exterior angles, find the number of sides of the polygon
Answer provided by our tutors
let 'n' be the number of sides of the polygon
the sum of the interior angles of a polygon is 180(n - 2)
the exterior angles always add to 360
180(n - 2) = 5*360
by solving the equation we find
n = 12 sides
click here to see the step by step solution of the equation
the polygon has 12 sides.