Question

Work out the sizes of each unknown exterior angle in this polygon

Answer 1

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°