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Question -

Given ∠POR = 3x and ∠QOR = 2x + 10°, find the value ofx for which POQ will be a line.



Answer -

∠POR = 3x and ∠QOR = 2x + 10°
If POQ is a line, then
∠POR + ∠QOR = 180° (Linear pair)
⇒ 3x + 2x + 10° = 180°
⇒ 5x = 180° – 10° = 170°
⇒ x == 34°
∴ x = 34°

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