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Two supplementary angles are such that one of them is 20° less than three times the other. Find the larger angle.

Class 10Word Problems on Linear PairsAlgebra — Systems of Equations
  • A130°
  • B50°
  • C135°
  • D140°

Step-by-Step Solution

Let the angles be and with the larger. and . Substituting: , so and . Check: 130 + 50 = 180 and . 50° is the smaller angle; 135° comes from dropping the 20 and using ; 140° comes from the sign slip .
Answer: A) 130°

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