Chapter 1, Problem 20RP

Solution

To Calculate: The measure of $\angle POR$

The required angle is $m\angle POR$ = ${13.4}^{\circ }$

Given information:

In this question, it is given that $\overrightarrow{OR}$ and $\overrightarrow{OS}$ trisect $\angle TOP$ and $\angle TOP$ = ${40.2}^{\circ }$

Calculation:

  $m\angle POR=m\angle ROS=m\angle SOT=\frac{{40.2}^{\circ }}{3}$ [ $\overrightarrow{OR}$ and $\overrightarrow{OS}$ trisect $\angle TOP$ ]

So that,

  $m\angle POR={13.4}^{\circ }$