Question

∠A and \angle B∠B are vertical angles. If m\angle A=(5x+6)^{\circ}∠A=(5x+6)

∘
and m\angle B=(6x-25)^{\circ}∠B=(6x−25)
∘
, then find the value of x.

Answer 1

Explanation:

Vertical angles are equal

<A = <B

5x + 6 = 6x - 25 Add 25 to both sides

5x + 6 + 25 = 6x Combine

5x + 31 = 6x Subtract 5x from both sides

31 = 6x - 5x

x = 31