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Question

Two angles form a linear pair. They are represented by x + 30 and 3x - 10 respectively. What are the measures of the angles?


  1. 70 and 110

  2. 60 and 120

  3. 40 and 140

  4. 50 and 130


Solution

The correct option is A

70 and 110


The angles are a linear pairs, hence sum of the angles = 180

Therefore,

(x + 30) + (3x - 10) = 180

⇒ 4x + 20 = 180

⇒ 4x = 160

⇒ x = 40

Therefore the measures of the angles are,

⇒ x + 30 = 40 + 30 = 70

 3x - 10 = 3 × 40 - 10 = 110

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