Question

∠A and \angle B∠B are vertical angles. If m\angle A=(2x+19)^{\circ}∠A=(2x+19) ∘ and m\angle B=(3x-18)^{\circ}∠B=(3x−18) ∘ , then find the measure of \angle A∠A.

Answer 1

The measure of Angle ∠A is 93

How to find the measure of angle ∠A?

The given parameters are

Angle ∠A = 2x + 19

Angle ∠B = 3x - 18

The angles are vertical angles

So, we have

Angle ∠A = Angle ∠B

This gives

3x - 18 =2x + 19

Collect the like terms

3x - 2x = 18 + 19

Evaluate the like terms

x= 37

Substitute x= 37 in Angle ∠A = 2x + 19

Angle ∠A = 2 x 37 + 19

Evaluate

Angle ∠A = 93

Hence, the measure of Angle ∠A is 93

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