Chapter 5, Problem 5RP

To determine

Prove that $\angle 3\ne \angle 4$ .

Answer to Problem 5RP

  $\angle 3isnotcongruent\angle 4$ Proved.

Explanation of Solution

Given information:

  

  $\angle 1\cong \angle 2$

  $ABCD$ is not a

Calculation:

Assume $\angle 3=\angle 4$

Segment $AB\left|\right|CD$

  $\begin{array}{l}\angle 1\cong \angle 2\\ \angle DABiscongruentto\angle BCD\\ oppositeanglescongruentimpliesaparalle\log ram\end{array}$

It is a contradiction so that $\angle 3isnotcongruent\angle 4$

Hence, proved.