Lines PQ and RS are parallel. It is given that ∠ RSP = 52∘, then find ∠ SPQ.
Since PQ and RS are parallel lines, ∠ RSP = ∠ SPQ, because they are alternate interior angles.
Therefore ∠SPQ = 52∘
PQ and RS are two equal and parallel line segments. Any point M not lying on PQ or RS is joined to Q and S and lines through P parallel to QM and through R parallel to SM meet at N . Prove that line segments MN and PQ are equal and parallel to each other.