Suppose you know that s angle and y angle are complementary, and that angle s=5(angle y)- 180 degrees. what is the value of angle m?

The correct question is
Suppose you know that S angle and Y angle are complementary, and that angle S=5(angle Y)- 180 degrees. What is the value of angle Y?

we know that
S angle and Y angle are complementary
so
S+Y=90> S=90-Y> equation 1
and
S=5Y-180> equation 2

equate equation 1 and equation 2
90-Y=5Y-180> 5Y+Y=180+90> 6Y=270> Y=45°
S=5*45-180> S=45°

the answer is
Y=45°

Iam thinking the answer is a.) knew