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∠A and \angle B∠B are supplementary angles. If m\angle A=(2x-4)^{\circ}∠A=(2x−4) ∘ and m\angle B=(4x-14)^{\circ}∠B=(4x−14) ∘ , then find the measure of \angle A∠A.

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abidemiokin

The measure of angle A is 62 degrees

Supplementary angles

Supplementary angles are angles that sunset up to 180 degrees. For instance, if A+B = 180, then A and B are supplementary

The sum of supplementary angles is 180 degrees such that;

<A + <B = 180

Given the following parameters

<A = 2x-4

<B = 4x-14

Substitute

2x-4 +4x-14 = 180

6x - 18 = 180

6x = 198

x = 198/6

x = 33

<A = 2x - 4

<A = 2(330 - 4

<A = 62 degrees

Hence the measure of angle A is 62 degrees

Learn more on supplementary angle here: https://brainly.com/question/12919120

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