Chapter 8.3, Problem 64SPR

To determine

The angles measuring more than angle 10.

Answer to Problem 64SPR

  $m\angle 3,m\angle 5$

Explanation of Solution

Given:

The given figure is:

  

Calculation:

The measure of an exterior angle of a triangle is more than the measure of either of its corresponding remote interior angles.

In triangle CED, Corresponding remote interior angles of angle 3 is angle 10. Thus, exterior angle inequality shows that

  $m\angle 3>m\angle 10$

In triangle CBD, Corresponding remote interior angles of angle 5 is angle 10. Thus, exterior angle inequality shows that

  $m\angle 5>m\angle 10$

Therefore, the angles measuring more than angle 10 are:

  $m\angle 3,m\angle 5$