In figure, POS is a line, find x. – InterviewSolution

1.

In figure, POS is a line, find x.

Answer»

From figure, ∠POQ and ∠QOS are linear pairs.

Therefore, ∠POQ + ∠QOS = 180°

∠POQ + ∠QOR +∠SOR = 180°

60° + 4x + 40° = 180°

4x = 180° -100°

4x = 80°

x = 20°

Hence, the value of x is 20°.

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