Angle r and angel s are complementary angles if r=12x-3 and s = 7x-2, find r

57 degrees

Step-by-step explanation:

r = 12x - 3

s = 7x - 2

It is given that angles r and s are complementary angles. Two angles are complementary if they add up to 90 degrees. This means the sum of measures of angle r and angle s must be 90 degrees. So,

r + s = 90

12x - 3 + 7x - 2 = 90

19x - 5 = 90

19x = 95

x = 95/19

x = 5

Using the value of x in expression or r, we get:

r = 12x - 3 = 12 (5) - 3 = 60 - 3 = 57 degrees.

So measure of angle r is 57 degrees.