Chapter 6.4, Problem 17WE

To determine

To complete: the angles order.

Answer to Problem 17WE

  $m\angle 2>m\angle X>m\angle XZY>m\angle Y>m\angle 1$

Explanation of Solution

Given:

The triangle is shown below:

  

Calculation:

Opposite angle of greater side must be larger and vice versa.

Opposite side for angle 1 is 9.

Opposite side for angle 2 is 15. But angle 2 is 90 degree which is greater than X and Y .

Opposite side for angle X is 15.

Opposite side for angle Y is 13.

Opposite side for angle XZY is 14.

Triangle ZXY is not the right triangle. Thus, the angle XZY must be less than 90 degree.

Thus, the order of angles is,

  $m\angle 2>m\angle X>m\angle XZY>m\angle Y>m\angle 1$