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∠A and \angle B∠B are complementary angles. If m\angle A=(2x+30)^{\circ}∠A=(2x+30)
∘
and m\angle B=(6x-12)^{\circ}∠B=(6x−12)
∘
, then find the measure of \angle A∠A..

Respuesta :

devishri1977

Answer:

∠A = 48

Step-by-step explanation:

∠A + ∠B = 90   ( Complementary angles)

2x + 30 + 6x - 12 = 90

Combine like terms

2x + 6x +30 - 12 = 90

              8x  + 18 = 90   {subtract 18 form both sides}

                       8x = 90 - 18

                      8x = 72  {Divide both sides by 8}

                  8x/8 = 72/8

x = 9

∠A = 2x + 30

     = 2*9 + 30

     = 18 + 30

∠A = 48

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