Lines and are parallel and are intersected by a transversal

MATHEMATICS · Subjective · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Lines aa and bb are parallel and are intersected by a transversal. The two interior angles on the same side of the transversal are labelled ∠P\angle P and ∠Q\angle Q. State whether ∠P+∠Q\angle P + \angle Q equals 90∘90^\circ, 180∘180^\circ or neither, and give a brief reason.

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