Question #38348

1 Answer
Sep 9, 2017

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#