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∠A and \angle B∠B are complementary angles. If m\angle A=(6x+3)^{\circ}∠A=(6x+3)

and m\angle B=(7x+9)^{\circ}∠B=(7x+9)

, then find the measure of \angle A∠A.


Sagot :

Answer:

Step-by-step explanation:

The angles are complimentary, so they add to 90

6x + 3 + 7x + 9 = 90             Combine like terms

13x + 12 = 90                         Subtract 12 from both sides

13x = 90 - 12                          Combine

13x = 78                                 Divide both sides by 13

x = 6

<A = 6x + 3

<A = 6*6 + 3

<A = 36 + 3

<A = 39