In the diagram, PQ is parallel to RS. If angle QPT = 65° and angle RST = 48°, find angle PTS.
A113°CORRECT
B117°
C127°
D133°
GCEMathematicsPlane Geometry2023
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Why the answer is A, and why the others tempt you.
Draw a line through T parallel to PQ and RS. The angle on the PQ side equals 65° (alternate angles) and the angle on the RS side equals 48° (alternate angles). Therefore angle PTS = 65° + 48° = 113°.
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