Chapter 4.6, Problem 46HP

To determine

To explain:

If the given information is true sometimes, always or never.

Answer to Problem 46HP

The given statement is sometimes true.

Explanation of Solution

Given information:

If the measure of the vertex angle of an isoscelestriangle is an integer, then the measure of each baseangle is an integer.

The given statement is sometimes true.

This is because only if the measure of the vertex angle iseven.

For example,

vertex angle $=50$ , base angles $=65$ .

vertex angle $=55$ , base angles $=62.5$ .