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Question
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°
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