Gujarat 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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