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?

(1 point)
angle

1 answer

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.

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