Answer:
see explanation
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
The exterior angle to interior angle is
exterior angle = 180° - 110° = 70°
Sum the exterior angles and equate to 360
x + 2x + 70 + 2x - 50 + x + 40 = 360 , that is
6x + 60 = 360 ( subtract 60 from both sides )
6x = 300 ( divide both sides by 6 )
x = 50
Then measure of exterior angles is
x = 50°
2x = 2 × 50 = 100°
x + 40 = 50 + 40 = 90°
2x - 50 = 2(50) - 50 = 100 - 50 = 50°
