SOLUTION: ∠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 w
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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(16322) (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
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Equations:
E + B = 180 degrees
E = 4B
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Substitute for "E" and solve for "B";
4B + B = 180
5B = 180
ABC = 36 degrees
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Solve for E:
DEF = 180-36
DEF = 144 degrees
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Cheers,
Stan H.
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