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∠A and \angle B∠B are supplementary angles. If m\angle A=(x+6)^{\circ}∠A=(x+6) ∘ and m\angle B=(7x+30)^{\circ}∠B=(7x+30) ∘ , then find the measure of \angle A∠A.

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abidemiokin

The measure of angle A is 24 degrees

The sum of supplementary angles is 180degrees. GIven the folloaing expressions

  • m<A=(x+6)
  • m<B = (7x+30)

Since the angles are supplementary, then:

m<A + m<B = 180

x+6+7x+30 = 180

8x+36 = 180

8x = 180 - 36

8x = 144

x = 144/8

x = 18

Get the measure of angle A

M<A = x + 6

m<A = 18 + 6

m<A  = 24

Hence the measure of angle A is 24 degrees

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