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In the Below Fig, Rays Ab and Cd Intersect at O. Determine Y When X = 60° - Mathematics

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Answer in Brief

In the below fig, rays AB and CD intersect at O.
 Determine y when x = 60°

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Solution 1

Given x = 60°

y = ?

`∠`AOC, `∠`BOC are linear pair of angles

`∠`AOC + `∠`BOC = 180°

⇒ 2x + y = 180°

⇒  2 × 60 + y = 180°          [ ∵x = 60°]

⇒  y = 180° -120°

⇒ y = 60°

Solution 2

Rays ABand CD intersect at point O.

Therefore, ∠AOCand ∠BOCform a linear pair.

Thus,

∠AOC +∠BOC = 180°

          2x +y =180°       (1)

On substituting x = 60° :

     2x + y = 180°

2(60°) + y = 180°

    120° + y= 180°

               y = 180°- 120°

               y = 60°

Concept: Concept of Parallel Lines
  Is there an error in this question or solution?

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Exercise 10.3 | Q 6.1 | Page 23

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