Question

Lines PQ and RS are parallel. It is given that $\angle RSP={52}^{\circ }$, then find $\angle SPQ$.

• A. ${38}^{\circ }$
• B. ${52}^{\circ }$
• C. ${45}^{\circ }$
• D. ${48}^{\circ }$

Answer 1

The correct option is B ${52}^{\circ }$

PQ and RS are parallel lines, so, $\angle RSP=\angle SPQ$, because they are alternate interior angles.
Therefore $\angle SPQ={52}^{\circ }$