∠A and ∠B are vertical angles. If m∠A=(4x+8)∘ and m∠B=(5x−3)∘, then find the measure of ∠A.

Answer 1

Vertical angles are equal; therefore, solve

4x+8=5x-3

I will leave the solution to you!

Answer 2

∠A and ∠B are vertical angles. If m∠A=(4x+8)∘ and m∠B=(5x−3)∘, then find the measure of ∠A.

Vertical angles are congruent, so m∠A = m∠B.

4x+8 = 5x-3

Subtract 5x from both sides.

-1x+8=-3

Subtract 8 from both sides to isolate the variable.

-1x=-11

Divide both sides by -1 to solve for x.

x=11

Plug in 11 for x into m∠A=(4x+8)=(4(11)+8)=(44+8)=52.