∠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.
1 answer:
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
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