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GRE
GRE Quantitative Reasoning Section

Calculating Angles Formed by a Line and a Point

Hard Geometry Lines And Angles

In the plane, consider a straight line $l$ and a point $P$ that lies outside the line. Line $m$ is drawn through point $P$ such that it intersects line $l$ at point $Q$. If angle ∠$PQR$ measures $35^{ ext{o}}$, where $R$ is a point on line $l$ on the opposite side of point $Q$, what is the measure of angle ∠$PQS$ formed by line $m$ and the extension of line $l$ at point $Q$?

Hint

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