Question

In the given figure if line AB is parallel to line CD then which of the following are true?

• A. $\angle AQX=\angle CPY$
• B. $\angle AQP=\angle CPQ$
• C. $\angle BQX=\angle DPX$
• D. $\angle BQP=\angle CPY$

Answer 1

Answer: (C)

$\angle BQX=\angle DPX$

Given AB is parallel to CD and XY acts as transversal.
Now among given options $\angle BQX=\angle DPX$ ($\because$ These two angles are corresponding angles)
and $\angle BQP=\angle CPX$ ($\because$ These two angles are a pair of alternate interior angles)