Question

A and \angle B∠B are supplementary angles. If m\angle A=(5x-19)^{\circ}∠A=(5x−19)

∘
and m\angle B=(2x+10)^{\circ}∠B=(2x+10)
∘
, then find the measure of \angle B∠B.

Answer 1

Answer: 52

Explanation:

4x+8 = 5x-3 by the Vertical Angles Theorem that states the vertical angles are congruent.

Subtract 4x from both sides and get:

8=1x -3

Add 3 to both sides:

11= 1x

if x =11, plug that in to angle A.

4x+ 8 becomes 4(11)+8 =

44+ 8=

52