Question

∠A and∠B are vertical angles. If ∠A=(3x−21) ∘ and ∠B=(2x−13) ∘ , then find the value of x.

Answer 1

x=8

Explanation:

Vertical angles are equal

<A = <B

3x-21 = 2x-13

Subtract 2x from each side

3x-2x-21 = 2x-13-2x

x-21 = -13

Add 21 to each side

x-21+21 = -13+21

x = 8