Question

PLEASE HELP DUE IN 20 MINUITES

Two angles are supplementary, and one angle is 4 times larger than the other.
Let x be the measure of the smaller angle (in degrees).
Let y be the measure of the larger angle (in degrees).
___
Solve for x then y

Answer 1

x=36, y=144

Explanation:

Ok so supplementary just means two angles that add up to 90. So as provided in the question let x be the smaller angle, and y be the larger angle.

By definition of a supplementary angle:
`x+y=180`

We can also derive another equation based on the relationship between x and y as given in the question. It says "one angle is 4 times larger than the other". Since we said that y is the larger number, it means that:
`y=4x`

We can substitute this definition into the first equation we made to solve for x

`x+(4x)=180`

Add like terms

`5x=180`

Divide both sides by 5

`x=36`

Since we know that y=4x, we can substitute in 36 as "x" to solve for y

`y=4(36)\\y=144`