Question

Question #38348

Answer 1

Let us take the the first number x and the second y and then restate the problems in terms of `x` and `y`, where x is the smaller angle and y is the larger:
`y=8x`

Since they are supplementary angles:
`x+y=180`

Substituting the value of y by 8x:
`x+8x=180`
`9x=180`

Dividing both sides by 9 to isolate the unknown `x`
`9x/9=180/9`
`rarr x=20degrees`

To find the larger angle:
`y=8x=8(20)=160 degrees`