Chapter 6, Problem 20PT

To determine

The measure of angle KLM.

Answer to Problem 20PT

  $\text{m}\angle KLM=71$

Explanation of Solution

Given:

The given figure is:

Calculation:

When a quadrilateral is a parallelogram, its consecutive angles are supplementary.

As angle K and angle KLM are consecutive angles, so they are supplementary.

So,

  $\begin{array}{l}\text{m}\angle K+\text{ m}\angle KLM=180\\ 109+\text{ m}\angle KLM=180\\ \text{m}\angle KLM=180-109\\ \text{m}\angle KLM=71\end{array}$