Chapter 5, Problem 18MCQ

To determine

To Find: The list of the angle that satisfy the given condition.

Answer to Problem 18MCQ

The angle that are larger than $\angle 3$ are $\angle 8$ and $\angle 9$ .

Explanation of Solution

Given:

The given condition is that angle measures greater than $m\angle 3$ .

The given diagram is shown in Figure 1

  

Figure 1

Calculation:

By the exterior angle inequality theorem the exterior angle $\angle 8$ is more than the remote interior angle $\angle 4,\angle 3$ .

In the same way the exterior angle $\angle 9$ is more than the remote interior angle $\angle 5$ and $\angle 3$ .

Thus, the angle that are larger than $\angle 3$ are $\angle 8$ and $\angle 9$ .