Answer:
see explanation
Explanation:
The exterior angles of a polygon , sum to 360°
sum the 5 angles, equate to 360 and solve for x
2x + 2x + 5 + 3x + 10 + 3x - 15 + x + 30 = 360 ( simplify left side )
11x + 30 = 360 ( subtract 30 from both sides )
11x = 330 ( divide both sides by 11 )
x = 30
The measures of the exterior angles are
2x = 2 × 30 = 60°
2x + 5 = 2(30) + 5 = 60 + 5 = 65°
3x + 10 = 3(30) + 10 = 90 + 10 = 100°
3x - 15 = 3(30) - 15 = 90 - 15 = 75°
x + 30 = 30 + 30 = 60°