Chapter 6.2, Problem 44HP

To determine

The measure of angle 1 and angle 10 from the given figure.

Answer to Problem 44HP

  $\begin{array}{l}m\angle 1=116\\ m\angle 10=115\end{array}$

Explanation of Solution

Given:

The given figure is:

Calculation:

From the given figure, angle 2 and the angle with 64 degrees are congruent as their corresponding angles are congruent.

Angle 1 and angle 2 are supplementary as their consecutive interior angles are supplementary.

So,

  $\begin{array}{l}m\angle 1=m\angle 2\\ m\angle 1=180-64\\ m\angle 1=116\end{array}$

Angle 10 and angle with 65 degrees are supplementary as their consecutive interior angles are supplementary.

So,

  $\begin{array}{l}m\angle 10=180-65\\ m\angle 10=115\end{array}$