Chapter 12, Problem 8MCQ

To determine

To find: whether the angles in the given diagram are corresponding, alternate interior, or alternate exterior angles.

Answer to Problem 8MCQ

The angles $\angle 3$ and $\angle 6$ are alternate exterior angles.

Explanation of Solution

Given information: Tell whether the angles $\angle 3\text{ and }\angle \text{6}$ in the diagram are corresponding, alternate interior, or alternate exterior angles.

  

Calculation:

When a line crosses two other lines, it’s called transversal. The pair of angles which are on the opposite sides of the transversal and on the outer sides of each of those two lines, are the alternate exterior angles.

In the given diagram, angles $\angle 3$ and $\angle 6$ are on the opposite sides of the transversal and on the outer sides of each of those two lines.

So, these two angles are alternate exterior angles.

Hence, The given angles $\angle 3$ and $\angle 6$ are alternate exterior angles.