Question

LA and ZB are vertical angles. If mA = (x+17) and m/B = (2x - 26),

then find the measure of ZA.

Answer 1

∠ A = 60°

Explanation:

vertical angles are congruent , so

∠ B = ∠ A , that is

2x - 26 = x + 17 ( subtract x from both sides )

x - 26 = 17 ( add 26 to both sides )

x = 43

Then

∠ A = x + 17 = 43 + 17 = 60°