# SOLUTION: &#8736;DEF and &#8736;ABC are supplementary angles and &#8736;DEF is four times as large as &#8736;ABC. Determine the measure of each angle, show all your work

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 Geometry: Angles, complementary, supplementary angles Solvers Lessons Answers archive Quiz In Depth

 Question 462056: ∠DEF and ∠ABC are supplementary angles and ∠DEF is four times as large as ∠ABC. Determine the measure of each angle, show all your workAnswer by algebrahouse.com(1079)   (Show Source): You can put this solution on YOUR website!∠DEF and ∠ABC are supplementary, meaning they add up to 180° x = ∠ABC 4x = ∠DEF {∠DEF is four times as large as ∠ABC} x + 4x = 180 {supplementary angles add up to 180°} 5x = 180 {combined like terms} x = 36 {divided both sides by 5} 4x = 144 {substituted 36, in for x, into 4x} ∠ABC = 36° and ∠DEF = 144° www.algebrahouse.com