Question

What is the sum of the measures of the interior angles of a regular polygon where a single exterior angle measures 30°?

Answer 1

sum of exterior angles - 360 degrees
so no. of sides = 360/30 = 12
sum of interior angles = 180( 12-2)

Answer 2

formula for total angles in polygon = 180(n - 2) degrees

Answer 3

im lost?

Answer 4

you can work out 180(12 - 2)?

Answer 5

work out the parentheses first : 12 - 2 = 10

Answer 6

what is the value of x?

Answer 7

x is one exterior angle there are 6 altogether: