Question

What is the sum of the measures of the interior angles of a regular polygon where a single exterior angle measures 36°?

Answer 1

the sum of the exterior angles is 360

so 360/36 = 10

there are 10 interior angles

each interior angle is supplementary to the exterior angle

let i be 1 interior angle

i + 36 = 180

so the measure of 1 interior angle is = 144

so 10 x 144 = 1440

the sum of the interior angles is 1440 degrees

hope this helps

Answer 2

thank you