Question

0. Find x in the following figure: A 75° 90° F B 120° 40° E C (A) 65° (E) None of these X 20% D (B) 75° (C) 80° (D) 90°​

Answer 1

B

Explanation:

• the sum of the exterior angles of a polygon is 360°

• the sum of the exterior angle and interior angle = 180° , then

exterior angle y = 180° - 120° = 60°

sum the exterior angles , equate to 360° and solve for x

60° + 75° + 90° + 40° + 20° + x = 360°

285° + x = 360° ( subtract 285° from both sides )

x = 75°