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Answer
x = 30°
Angle GAF = 24°
Angle EAF = 48°
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°
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Rewritten by : Barada
