Question

The supplement of an angle Y measures 10x + 4 and the complement of the angle measures 4x. What is the measure of the angle?

Answer 1

Y=32.67°

Explanation:

Supplement condition:

Y+(10x+4°)=180° (1)

Complement condition:

Y+4x=90° (2)

5*(2)-2*(1):

5Y +20x - 2Y -20x -8° =450°-360°

3Y=98°

Y=32.67°