Question

Find the value of x and the numerical values of m∠GAF and m∠EAF.

Answer 1

x = 30°

Angle GAF = 24°

Angle EAF = 48°

Step-by-step explanation

We are given that

Angle GAE = 72°

Angle EAF = (x + 18)

Angle GAF = (x - 6)

But from the image, we can see that Angle EAF and Angle GAF make up Angle GAE

(Angle EAF) + (Angle GAF) = (Angle GAE)

x + 18 + x - 6 = 72°

2x + 12 = 72°

2x = 72° - 12°

2x = 60°

Divde both sides by 2

(2x/2) = (60°/2)

x = 30°

Angle GAF = x - 6 = 30° - 6° = 24°

Angle EAF = x + 18 = 30° + 18° = 48°

Hope this Helps!!!