question_answer

\[\overrightarrow{\text{QZ}}\] is the bisector of \[\angle \text{PQZ=}\angle \text{PQR}\]. Which of the following is true?

A) \[\angle \text{PQZ=}\angle \text{PQR}\]

B) \[\angle \text{PQZ=}\angle \text{ZQR}\]

C) \[\angle \text{PQZ=}\frac{1}{2}\angle \text{ZQR}\]

D) Both [b] and [c]  

Correct Answer: D

Solution :

\[\overrightarrow{\text{QZ}}\] bisects \[\angle \text{PQR}\] (Given) Thus. \[\angle PQZ=\angle ZQR=\frac{1}{2}\angle PQR\]