Question

∠A and ∠B are vertical angles. If m∠A = (7x+4) and m∠B = (8x - 20) then find the measure of ∠B

Answer 1

Since ∠A and ∠B are vertical angles, they have equal measures, so m∠A = m∠B. We can set the two expressions equal to each other:

7x + 4 = 8x - 20

Solving for x:

-x = -24

x = 24

So, m∠A = 7x + 4 = 7 * 24 + 4 = 188, and m∠B = 8x - 20 = 8 * 24 - 20 = 188.

Therefore, the measure of ∠B is 188 degrees.