Question

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

Answer 1

75 and 15

Explanation:

Answer 2

Greater angle=75° Smaller angle=15°

Explanation:

Given expressions

• x+y=90
• y=
  `(x)/(5)`

⇒
`y=(x)/(5)\\ x=5* y`

Substitute this in the first expression

⇒ x+y=90

`5* y+ y=90\\6* y =90\\y=(90)/(6) \\y=15`

From the First expression

Substitute y value to get x value

⇒
`x+y=90\\x+15=90\\x=75`

Therefore x=75 and y=15

⇒ Greater angle=75 and smaller angle=15