In the following figure, m || QR. Find the measure of ∠QPR.

80°

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85°

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90°

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95°

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Solution

The correct option is B 85°

In the given figure, ∠x = ∠QRP = 45°(Alternate interior angles)
50° + ∠QPR + ∠x = 180° (Straight angle)
$∠ Q P R = 180 ° - 50 ° - 45 °$
$∠ Q P R = 85 °$

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