Chapter 4.3, Problem 3CYP

To determine

To find the $m\angle NWR$

Answer to Problem 3CYP

  $m\angle NWR=88$

Explanation of Solution

Given:

  $\angle WNX\cong \angle WRX$

  $\overline{WX}$ bisects $\angle NXR$ , $\angle WNX=88$ and $\angle NXW=49$

Calculation:

Since it is given that $\angle WNX\cong \angle WRX$

  $\overline{WX}$ bisects $\angle NXR$ , $\angle WNX=88$ and $\angle NXW=49$

  $\begin{array}{l}m\angle NXR=2\times \angle NXW\\ m\angle NXR=2\times 49\\ m\angle NXR=98\\ m\angle NWR=m\angle NXR\\ m\angle NWR=88\end{array}$