Angle Terminology with Equations

Question

∠A and ∠B are vertical angles. If m∠A=(7x−19)∘ and m∠B=(6x+3)∘, then find the measure of ∠B.

help, please!!!

Answer 1

Hi Laura,

Vertical angles are formed when 2 lines intersect. They are the angles opposite each other. Vertical angles are defined to be congruent.

To determine the measure of angle B, You would set angle A and angle B equal to each other.

m∠A=m∠B

(7x−19)∘ = (6x+3)

7x - 6x -19 +19= 3+19

x = 22

Now, use the value of x to determine the measure of angle B

m∠B=(6x+3)

m∠B= 6(22) + 3

m∠B= 135°

We can check and verify that m∠A is the same

m∠A = (7x-19)

m∠A = 7(22)-19

m∠A=135

Hope this helps :)