The system of equations below represents the measures of 2 angles created by the diagonal of a rectangle: x + y = 90 y = 1/5 What is the measure of the greater angle? ° What is the measure of the smaller angle? °

The larger of the two angles is x, which is 75. y is the smaller angle at 15.

Step-by-step explanation:

In order to find these, we can use our solved value for y in the second equation to plug into the first equation. This method is called substitution.

x + y = 90

x + (1/5x) = 90

1.2x = 90

x = 75

Now we can plug that value into either equation to find y

y = 1/5x

y = 1/5 (75)

y = 15