Chapter 14.4, Problem 7PSB

To determine

To construct an angle of $\frac{1}{2}\left(\angle A+\angle B\right)$

Explanation of Solution

Given:

The given angles are $\angle A$ and $\angle B$ .

Calculation:

Let $\angle A={30}^{\circ }$

  

Let $\angle B={60}^{\circ }$

  

So the

  $\begin{array}{l}\angle C=\frac{1}{2}\left(\angle A+\angle B\right)\\ \angle C=\frac{1}{2}\left(30+60\right)={45}^{\circ }\end{array}$