Question

The measure of two complementary angle are (2x+2)degrees and (3x-5) degrees. What is measure of smaller angle?

Answer 1

Complementary = 90 degrees
so the two angles add to 90.
(2x+2) + (3x-5) = 90
5x - 3 = 90
5x = 93
x = 18.6
now plug that into both, you’ll get:
(2(18.6)+2) = (37.2+2) = 39.2
(3(18.6)-5) = (55.8-5) = 50.8
the smaller of the two is the 39.2 degree angle
check your work and see that the two angles add up to 90 :)