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Lines And Angles — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsLines And Angles2 Marks
Question
In figure, POS is a line, Find x.
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Answer

Since $\angle\text{POQ}$ and $\angle\text{QOS}$ are linear pairs$\angle\text{POQ}+\angle\text{QOS}=180^\circ$
$\angle\text{POQ}+\angle\text{QOR}+\angle\text{SOR}=180^\circ$
60 + 4x + 40 = 180 4x = 180 - 100 4x = 80 x = 20 Hence, Value of x = 20

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