Question

which of the following statements is true? answer 2 (m∠opr)=m∠qpr 1/2 (m∠opr)=m∠qpr 2 (m∠opr)=m∠opq m∠opq=m∠opr submit answer

Explanation:

Step1: Observe the angle - bisector

From the figure, ray $PR$ appears to be the angle - bisector of $\angle OPQ$.

Step2: Recall the property of an angle - bisector

An angle - bisector divides an angle into two equal angles. So, if $PR$ is the angle - bisector of $\angle OPQ$, then $m\angle OPR=m\angle QPR$ and $m\angle OPQ = 2m\angle OPR=2m\angle QPR$.

Answer:

$2(\text{m}\angle OPR)=\text{m}\angle OPQ$