Question

The angle measurements in the diagram are represented by the following expressions​

Answer 1

x = 12

∠A = 144

Explanation:

+ We have: ∠A = ∠C (alternate interior)

∠D = ∠C ( vertically opposite angles)

=> ∠A = ∠C (because = ∠C)

=> 10x + 24 = 6x + 72

=> 10x - 6x = 72 - 24

4x = 48

x = 12

+ ∠A = 10x + 24

∠A = 10 x 12 + 24

∠A = 144