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Question

The following diagram shows parallel lines cut by a transversal. Which of the following statements is true?


  1. Complementary angle of x is x2

  2. Supplementary angle of x is 2x

  3. x=30

  4. x=120


Solution

The correct options are
A

Complementary angle of x is x2


B

Supplementary angle of x is 2x


In the above figure since the two lines are parallel and cut by a transversal, using the property of corresponding angles:

=> 2x - 60 = x

=> x - 60 = 0

=> x = 60
Supplementary angle of 60=18060=120=2x
Complementary angle of 60=9060=30=x2

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