Question

Question

Use the figure to answer the 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?

Answer 1

To find the alternate interior angle to angle 5, we need to identify the corresponding angle that is located on the opposite side of the transversal (the inclined line) and between the two parallel lines (lines M and N).

1. Angle 5 is formed at the intersection of the transversal with line N.
2. To find an alternate interior angle, we look for the angle formed on the opposite side of the transversal at the intersection with line M.

According to the angle labeling described:

• Angle 1 is in the upper left, angle 2 is in the upper right, angle 3 is in the lower right, and angle 4 is in the lower left at the intersection with line M.
• Angle 5 is in the upper left at the intersection with line N.

The angle that is directly opposite angle 5, across the transversal and inside the parallel lines, is angle 4.

Therefore, angle 4 is an alternate interior angle to angle 5.