R and S are complementary angles. if R=12x-3 and S=7x-2, find R

Answer 1

If they are complementary angles then they add up to 90° meaning m∠R + m∠S = 90.

So, since m∠R = 12x - 3 and m∠S = 7x - 2 then (12x - 3) + (7x - 2) = 90. Now, solve for "x":

(12x - 3) + (7x - 2) = 90

12x - 3 + 7x - 2 = 90

19x - 5 = 90

19x = 95

x = 5

Since the question is looking for the measure of angle R, plug x = 5 into 12x - 3 to get the answer.