# SOLUTION: In any triangle, the sum of the measures of the angles is 180 degrees. In triangle ABC, angle A is 4 times as large as angle B. Angle C measures 20 degrees less than angle B. Fi

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: In any triangle, the sum of the measures of the angles is 180 degrees. In triangle ABC, angle A is 4 times as large as angle B. Angle C measures 20 degrees less than angle B. Fi      Log On

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 Click here to see ALL problems on Geometry Word Problems Question 10974: In any triangle, the sum of the measures of the angles is 180 degrees. In triangle ABC, angle A is 4 times as large as angle B. Angle C measures 20 degrees less than angle B. Find the measure of each angle.Answer by MArk_HeRras(6)   (Show Source): You can put this solution on YOUR website!A/R(representing the unknown): 4x = Angle A x = Angle B x-20 = Angle c E(Equation): 4x + x + x - 20=180 S(Solution): 4x + x + 20 - x = 180 Add 4x + x - x = 4x Then, transposed -20 to the right side showing us 180 - 20 = 160 4x = 160 Now, Divide 4 to both sides like this: 4x/4 = 160/4 The Answer is x = 40 C(Checking): 4(40) = 160 =Angle A x = 40 = Angle B 20 - 40 = -20 4(40) + 40 + 20 - 40 = 180 160 + 60 - 40 =180 220 - 40 = 180 180 = 180