Question

Three of the exterior angles of an n-sided
polygon are 50° each, two of its interior
angles are 127° and 135°, and the remaining
interior angles are 173° each. Find the value of n.​

Answer 1

Answer:

the exterior angles have to sum to 360, all the way around

with exterior of 50 we have exterior of 150 so far and 360 - 150 = 210 left for exterior angles

exterior with 127 interior = 53

exterior with 135 = 45

so

210 - 53 - 45 = 112 left for exteriors

exterior with 173 = 180-173=7

112/7 = 16

so i have

16

+1

+1

+3

= 21 interior angles = n