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 identify the alternate interior angle to angle 5, we first need to understand the arrangement of angles formed by the transversal intersecting the two parallel lines, M and N.

The angles at intersection point M, labeled 1, 2, 4, and 3, are as follows:

• Angle 1: Upper left
• Angle 2: Upper right
• Angle 4: Lower right
• Angle 3: Lower left

The angles at intersection point N, labeled 5, 6, 8, and 7, are as follows:

• Angle 5: Upper left
• Angle 6: Upper right
• Angle 8: Lower right
• Angle 7: Lower left

Alternate interior angles are pairs of angles that are on opposite sides of the transversal and inside the two parallel lines.

Since angle 5 is at the upper left of line N, the corresponding alternate interior angle would be the angle on the opposite side of the transversal that is also inside lines M and N. This would correspond to angle 3, which is at the lower left of line M.

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