∠A and \angle B∠B are complementary angles. If m\angle A=(6x-4)^{\circ}∠A=(6x−4) ∘ and m\angle B=(x+17)^{\circ}∠B=(x+17) ∘ , then find the measure of \angle A∠A.

Question

Solve for angle A

Answer 1

Hi Lydia N

Something about your notation did not come through but it looks your question says that Angle A and Angle B are complementary Angle A is (6x -4) degrees and Angle B is (x+17) degrees then find the measure of Angle A; is that your question?

If this is true then

Complementary angles sum to 90 degrees

(6x - 4) + (x +17) = 90

6x -4 + x + 17 = 90

If this is correct the all you need to do is combine like terms and solve for x.

Plug whatever value you get for x back into the equation for the measure of Angle A

I hope this helps please let me know if my interpretation of your question is correct.