Answer:
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.
