Chapter 11.1, Problem 5CYU

To determine

To calculate: The measure of $\angle 8$ .

Answer to Problem 5CYU

The measure of $\angle 8={128}^0$ .

Explanation of Solution

Given information: Given in the figure, $r\parallel s$ and w is the transversal. Also given, $m\angle 1$ = ${128}^0$ .

Calculation:

In the figure, $r\parallel s$ and w is the transversal. Given $m\angle 1={128}^0$

  $\therefore$ $\angle 1$ and $\angle 8$ are alternate exterior angles.

We know that, alternate exterior angles are equal.

  $\therefore$ We can write,

  $\begin{array}{l}\angle 1=\angle 8\\ \Rightarrow 128=\angle 8\\ \Rightarrow \angle 8=128\end{array}$

  $\therefore$ $m\angle 8={128}^0$