Question

∠A and \angle B∠B are vertical angles. If m\angle A=(2x+26)^{\circ}∠A=(2x+26) ∘ and m\angle B=(3x+21)^{\circ}∠B=(3x+21) ∘ , then find the measure of \angle B∠B.

Answer 1

Answer:

36degrees

Step-by-step explanation:

If m<A and m<B are vertical angles, hence m<A = m<B (vertical angles are equal)

Given the following

m<A = (2x+26)°

m<B = (3x+21)°

Equating both expressions

2x + 26 = 3x + 21

2x - 3x = 21 - 26

-x = -5

x = 5

Get the measure of m<B

m<B = (3x+21)°

m<B = 3(5) + 21

m<B = 15+21

m<B = 36degrees

Hence the measure of angle B is 36degrees