Question

LA and ZB are vertical angles. If mA = (6x - 26)° and m/B = (5x + 6)°,

then find the measure of ZB.

Answer 1

∠ B = 166°

Explanation:

since ∠ A and ∠ B are vertical angles then they are congruent, that is

∠ A = ∠ B

6x - 26 = 5x + 6 ( subtract 5x from both sides )

x - 26 = 6 ( add 26 to both sides )

x = 32

Then

∠ B = 5x + 6 = 5(32) + 6 = 160 + 6 = 166°