# SOLUTION: An angle is 40degrees larger than its supplement. What are the measures of the two angles? I don't know how to identify the variables OR how to plug them into an equation.

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

 Question 155912: An angle is 40degrees larger than its supplement. What are the measures of the two angles? I don't know how to identify the variables OR how to plug them into an equation.Found 2 solutions by stanbon, Alan3354:Answer by stanbon(57940)   (Show Source): You can put this solution on YOUR website!An angle is 40degrees larger than its supplement. What are the measures of the two angles? ------------- Let the angle be "x": Then the suppliement is 180-x ------------------ EQUATION: x = (180-x)+40 2x = 220 x = 110 (the angle) 180 - x =180 - 110 = 70 (the other angle) --------------------------- Cheers, Stan H. Answer by Alan3354(31487)   (Show Source): You can put this solution on YOUR website!An angle is 40degrees larger than its supplement. What are the measures of the two angles? I don't know how to identify the variables OR how to plug them into an equation. ------------------ Start with what it says, "An angle..." Call it A. Then, it makes reference to "its supplement", which is 180-A. Right? A supplement is always 180 minus the angle. Then, it says A = S + 40 (S = supplement), so A = (180 - A) + 40 Solve for A A = 180 - A + 40 A = 220 - A 2A = 220 A = 110 To check: The supplement is 180 - A = 70 110 is 40 more than the supplement.