If you need to construct a triangle with point P as one of its vertices, which is the angle that you need to construct a side of the triangle?

∠QPR

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∠RQP

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∠PRQ

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Angle PR makes with AC

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Solution

The correct option is D
Angle PR makes with AC

Once we know the position of Point P, we need to find the orientation of the $△ P Q R$ w.r.t $△ A B C$ . For that purpose we need to know the angle of any one side that makes with the original triangle. Therefore, among the given options we will be able to determine the orientation of the $△ P Q R$ if we know the angle which side PR makes with side AC.

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