Question

in what convex polygon is the sum of the measures of the exterior angles, one per vertex, equal to the sum of the measures of the interior angles?

Answer 1

let n be the number of sides of the convex polygon.

the sum of the interior angles is \[180^o(n-2)\]

the sum of the exterior angles, one per vertex, is \[360^o\]

equate the two expressions, then solve \(n\).