Chapter 1, Problem 15RP

Solution

To Prove: The congruency of $\angle VTW$ with respect to $\angle XTW$

Given information: $\overrightarrow{TW}$ bisects $\angle VTX$ provided in the question which will help to find the solution.

Proof: Here, $\overrightarrow{TW}$ bisects $\angle VTX$

So that, $\angle VTW=\angle WTX$ (Bisects)

So, VW = WX ( $\because$ $\overrightarrow{TW}$ bisects $\angle VTX$ )

  $\angle TWV=\angle TWX$ (Right angles)

So that, by using congruence rule we can say that

  $\angle VTW\cong \angle XTW$