Question

∠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.

Answer 1

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