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GRE
GRE Quantitative Reasoning Section

Angles Formed by Intersecting Lines

Hard Geometry Lines And Angles

In a geometric configuration, consider lines AB and CD that intersect at point P, creating four angles: ∠APC, ∠BPD, ∠DPA, and ∠CPB. It is known that ∠APC is 3 times the measure of ∠DPA. Furthermore, the sum of the measures of the angles around point P equals 360 degrees.

Determine the relationship between the measure of angle DPA (Quantity A) and the measure of angle BPD (Quantity B).

Hint

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