Question

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

∘
and m\angle B=(2x+19)^{\circ}∠B=(2x+19)
∘
, then find the value of x.

Answer 1

8

Explanation:

5x - 5 = 2x + 19

3x - 5 = 19

3x = 24

Answer 2

x = 8

Explanation:

Since the angles are vertical then they are congruent, thus

5x - 5 = 2x + 19 ( subtract 2x from both sides )

3x - 5 = 19 ( add 5 to both sides )

3x = 24 ( divide both sides by 3 )

x = 8