Chapter 11.1, Problem 18PPS

To determine

To calculate: The measure of $\angle 4$ .

Answer to Problem 18PPS

The measure of. $\angle 4={52.6}^0$ .

Explanation of Solution

Given information: Given in the figure, $f\parallel g$ and t is the transversal. Also given, $m\angle 6={52.6}^0$ .

Calculation:

In the figure, $f\parallel g$ and t is the transversal. Given $m\angle 6={52.6}^0$ .

$\therefore$ $\angle 4$ and $\angle 6$ are opposite pair of angle. The angles are vertical angles.

We know that, vertical angles are equal.

$\therefore$ We can write,

  $\begin{array}{l}\angle 4=\angle 6\\ \Rightarrow \angle 4=52.6\end{array}$

$\therefore$ $m\angle 4={52.6}^0$