Chapter 6.6, Problem 39PPS

To determine

The measure of angle QRS.

Answer to Problem 39PPS

  $m\angle QRS=70$

Explanation of Solution

Given:

The end of the batting cage is an isosceles trapezoid.

  

  $PT=12\text{ feet, ST = 28 feet and m}\angle \text{PQR=110}\text{.}$

Calculation:

As given, $\overline{PQ}\parallel \overline{SR}.$

So, according to the Consecutive Interior Angles Theorem, $\angle PQR\text{ and }\angle QRS$ are supplementary.

  $\begin{array}{l}m\angle PQR+m\angle QRS=180\\ 110+m\angle QRS=180\\ m\angle QRS=70\end{array}$