Chapter 14.4, Problem 16PSC

a.

To determine

To explain how to construct the given angle.

Explanation of Solution

Given:

The given angle is $32{\frac{1}{2}}^{\circ }$ .

Calculation:

The angle of $32{\frac{1}{2}}^{\circ }$ can be constructed using the following steps-

Continue to bisect the given angle ${80}^{\circ }$ until you get to ${2.5}^{\circ }$ angle. Then copy three ${10}^{\circ }$ angles on top of each other to get a ${30}^{\circ }$ angle. Now copy the ${2.5}^{\circ }$ angle to get a ${32.5}^{\circ }$ angle.

b.

To determine

To explain how to construct the given angle.

Explanation of Solution

Given:

The given angle is $41{\frac{1}{4}}^{\circ }$ .

Calculation:

The angle of $41{\frac{1}{4}}^{\circ }$ can be constructed using the following steps-

Continue to bisect the given angle ${80}^{\circ }$ until you get to ${1.25}^{\circ }$ angle. Then copy one ${40}^{\circ }$ and add a ${1.25}^{\circ }$ angle to get a ${41.25}^{\circ }$ angle.