Use the figure to answer the question.

Question

An illustration shows a right inclined transversal passing through two parallel lines labeled upper M and upper N. Four angles are formed at the intersections of the transversal with upper M and upper N. The angles formed around the intersection point of the transversal and upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.

Which angle is an alternate interior angle to angle 5?

(1 point)
angle

Answer 1

To find the angle that is an alternate interior angle to angle 5, we need to consider the positions of the angles formed by the transversal and the parallel lines M and N.

The alternate interior angles are located between the two parallel lines and are on opposite sides of the transversal.

In your description:

• Angle 5 is on line N.
• The alternate interior angle to angle 5 would be the angle that is on line M, located opposite angle 5 with respect to the transversal.

Since angle 5 is in the upper left quadrant (at the intersection of line N and the transversal), the corresponding interior angle that is on line M in the lower right quadrant is angle 3.

Thus, the angle that is an alternate interior angle to angle 5 is angle 3.