Question

∠A and \angle B∠B are vertical angles. If m\angle A=(7x-8)

∘
and m\angle B=(6x+17)
∘
, then find the value of x.

Answer 1

x=25

Explanation:

We know vertical angles are equal

<A = <B

7x-8 = 6x+17

Subtract 6x from each side

7x-6x-8 = 6x-6x+17

x-8 = 17

Add 8 to each side

x-8+8 = 17+8

x=25