The system of equations below represents the measures of 2 angles created by the diagonal of a rectangle: x  +  y  = 90y  =  x/5what is the measure of the greater angle? 15759045°what is the measure of the smaller angle?

Let
x> the greater angle
y> the smaller angle

we know that
x+y=90> equation 1
y=x/5> equation 2

substitute equation 2 in equation 1
x+[x/5]=90> multiply by 5 both sides> 5x+x=450
6x=450
x=75
y=x/5> y=75/5> y=15

the answer Part a) is 
the greater angle is 75°

the answer part b) is
the smaller angle is 15°