Chapter 11.1, Problem 4CYU

To determine

To Find: The measure of $\angle 5$

Answer to Problem 4CYU

  $m\angle 5={128}^{°}$

Explanation of Solution

Given information:

Lines ‘r’ and ‘s’ are parallel to each other and ‘w’ is transversal.

  $m\angle 1={128}^{°}$

Concept and Formula Used:

Corresponding angles are equal.

Corresponding angles: Angles on the same position on the parallel lines in relation to the transversal.

Calculation:

The given figure is

From the figure

  $\begin{array}{l}m\angle 1=m\angle 5\left(\text{corresponding angles are equal}\right)\\ \text{As }m\angle 1={128}^{°}\\ \text{Therefore }m\angle 5={128}^{°}\end{array}$

Conclusion:

  $m\angle 5={128}^{°}$