Question

∠A and \angle B∠B are vertical angles. If m\angle A=(5x-2)^{\circ}∠A=(5x−2) ∘ and m\angle B=(3x+12)^{\circ}∠B=(3x+12) ∘ , then find the value of x.

Answer 1

X=14

Explanation:

Answer 2

x = 7

Explanation:

From the above question, we are told that:

∠A and ∠B vertical angles.

It is important to note that vertical angles are equal to each other

Hence:

∠A = ∠B

From the question,

∠A = (5x−2)°

∠B = (3x+12)°

Hence:

(5x−2)°= (3x+12)°

5x - 2 = 3x + 12

Collect like terms

5x - 3x = 12 +2

2x = 14

x = 14/2

x = 7