Question

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

Answer 1

Complementary angles equal 90°

x= angle 1
x+74= angle 2

x + (x+74)= 90°
combine like terms
2x+74= 90
subtract 74 from both sides
2x=16
divide both sides by 2
x=8° angle 1

Substitute x=8 to find angle 2
=x+74
=8+74
=82° angle 2

Check:
angle 1 + angle 2= 90°
8° + 82°= 90°
90°=90°

Hope this helps! :)

Answer 2

X + (x+74) = 90
2x + 74 = 90
-74          -74
2x=16
x=8

The angles are 8° and 82°