Question

find value of x in the following figure​

Answer 1

Explanation:

Angle A + Angle B + Angle C = 180

52 + 64 + C = 180

C = 180 - 116

C = 64°

Angle C = Angle FAE ( Alternate Angles )

C = Angle FAE = 64°

Angle FAE + Angle AED = 180 ( Suplementary Angles )

64 + x = 180

x = 180 - 64

x = 116°