∠A and \angle B∠B are vertical angles. If m\angle A=(5x-4)^{\circ}∠A=(5x−4) ∘ and m\angle B=(2x-1)^{\circ}∠B=(2x−1) ∘ , then find the value of x.

Question

∠A and ∠B are vertical angles. If m∠A=(5x−4)∘ and m∠B=(2x−1)∘, then find the value of x.

Answer 1

Since the 2 angles are vertical angles, 5x-4=2x-1 => 3x=3 => x=1