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Lines And Angles — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsLines And Angles2 Marks
Question
In figure, rays AB and CD intersect at O.
Determine y when x = 60°.
✓

Answer

Here,$\angle\text{AOC}+\angle\text{BOC}=180^\circ$ [linear pair]
⇒ 2x + y = 180° [linear pair] ⇒ 2 × 60° + y = 180° ⇒ y = 180° - 120° = 60°$\therefore$ y = 60°

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