Question

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

∘
and m\angle B=(4x+29)^{\circ}∠B=(4x+29)
∘
, then find the measure of \angle A∠A.

Answer 1

m<A = 115

Explanation:

Answer 2

If A and B are vertical angles, then they are congruent, so their measures are equal.

This means

(5x + 5)º = (4x + 29)º

5x + 5 = 4x + 29

x = 24

Then angle A has measure (5*24 + 5)º = 125º.