# 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. For some reason I have major problems w

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> 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. For some reason I have major problems w      Log On

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 Click here to see ALL problems on Geometry Word Problems Question 466600: ∠DEF and ∠ABC are supplementary angles and ∠DEF is four times as large as ∠ABC. Determine the measure of each angle. For some reason I have major problems with these lines. Any help, please.Found 2 solutions by rfer, stanbon:Answer by rfer(12730)   (Show Source): You can put this solution on YOUR website!x+4x=180 5x=180 x=36 4x=144 Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!∠DEF and ∠ABC are supplementary angles and ∠DEF is four times as large as ∠ABC. Determine the measure of each angle ----- Equations: E + B = 180 degrees E = 4B --- Substitute for "E" and solve for "B"; 4B + B = 180 5B = 180 ABC = 36 degrees --- Solve for E: DEF = 180-36 DEF = 144 degrees ------ Cheers, Stan H.