Chapter 15, Problem 35CR

To determine

To Prove: The given exterior angle is greater than given interior angle.

Explanation of Solution

Given:

  $\angle 1>\angle 1$

  

Formula Used:

Sum of interior angle is equal to exterior angle.

Vertically opposite angles are equal.

  $\begin{array}{l}Let,\\ \angle ZXYbex\\ \angle XWZbey\\ \angle 2=\angle 4+\angle x\\ \angle 1=\angle 2+\angle y=\angle 4+\angle x+\angle y\\ thus,\\ \angle 1>\angle 2\end{array}$

Conclusion:

Hence, Proved.