Question 697441
Supplementary angles add up to {{{180}}}°.

given:

 {{{x}}} and {{{y}}} are supplementary angles, means {{{x+y=180}}}°......1

if given {{{x = 5y}}}, substitute in 1


{{{5y+y=180}}}°......1.solve for {{{y}}}


{{{6y=180}}}°


{{{y=180/6}}}°


{{{highlight(y=30)}}}°


now find {{{x}}}


{{{x = 5*30}}}°


{{{highlight(x = 150)}}}°