Question

For all triangles xyz where side xz is longer than side yz, such as the triangle shown below, which of he following statements is true?

Answer 1

The statement - The measure of angle x is always less than the measure of angle Y - is the true statement

How to determine the true statement

To determine the true statement, let's consider the given condition: side XZ is longer than side YZ in triangle XYZ. We want to evaluate the statement:

The measure of angle X is always less than the measure of angle Y

If side XZ is longer than side YZ, it implies that angle X is opposite the longer side and angle Y is opposite the shorter side.

In a triangle, the angle opposite the longer side is always larger than the angle opposite the shorter side.

This is known as the angle-side relationship in triangles.