noahflatt
Answered

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∠A and \angle B∠B are complementary angles. If m\angle A=(6x+29)^{\circ}∠A=(6x+29)
∘
and m\angle B=(x+5)^{\circ}∠B=(x+5)
∘
, then find the measure of \angle A∠A.

Sagot :

devishri1977

Answer:

Step-by-step explanation:

Complementary angles add up to 90

6x + 29 + x + 5 = 90

6x + x + 29 + 5 = 90

           7x + 34  = 90

                   7x  = 90 - 34  {Subtract 34 from both  sides}

                   7x  = 56

                    x = 56/6   {Divide both sides by 6}

                    x = 8

∠A = 6x + 29

     = 6*8 + 29

      = 48 + 29

∠A = 77°

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