Question 658143

Supplementary angles are pairs of angles that add up to {{{180}}} degrees.

if measurement <{{{2=beta}}} equals {{{4}}} time the measure of <{{{1=alpha}}}, then 

measure<{{{beta=4*alpha}}}........1

{{{alpha+beta=180}}}...............2
__________________________________solve the system...{{{beta}}} from equation 1 plug in 2



{{{alpha+4*alpha=180}}}......solve for {{{alpha}}}

{{{5*alpha=180}}}

{{{alpha=180/5}}}

{{{highlight(alpha=36)}}}

now find {{{beta}}}

{{{beta=4*alpha}}}........1

{{{beta=4*36}}}

{{{highlight(beta=144)}}}