Chapter 8.5, Problem 49E

To determine

The type of angle obtained after bisecting given angles

Explanation of Solution

Given:

1. Acute angle
2. Right angle
3. Obtuse angle
4. Straight angle.

Solution:

From the given description,

Angle bisector divides the base angle in two equal halves.

Therefore,

a.

If an acute angle is bisected, it will give two acute angles.

b.

if right angle is bisected, it will give two acute angle.

c..

If an obtuse angle is bisected, it will give two acute angle, one acute and one right angle.

d.

If straight angle is bisected.

It will give a pair of right angle.