Question

An angle is 74 degrees more than its complement. Find both angles.

Answer 1

The measure of the smaller angle is 8 degrees.
The measure of the larger angle is 82 degrees.

82-8=74
82+8=90

What I did:

complementary angle=90 degrees.
n=74+m
m = less than 16
n= measure of larger angle
Angle 1=x
Angle 2=x+74
2x+74=90
90-74=16
16=2x
16/2=8
Measure of smaller angle=8 degrees
Measure of larger angle=90-8=82.