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
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Angle 6 is an alternate interior angle to angle 5.
To determine which angle is an alternate interior angle to angle 5, we need to identify the corresponding angle on the other side of the transversal.
In this case, angle 5 is formed around the intersection point of the transversal and upper N. The corresponding angle on the other side of the transversal around the intersection point of upper M is angle 3.
Therefore, angle 3 is an alternate interior angle to angle 5.
To find the alternate interior angle to angle 5, we need to understand the concept of alternate interior angles. Alternate interior angles are formed when a transversal intersects two parallel lines. They are pairs of angles that are on the opposite sides of the transversal and in between the parallel lines.
In this case, angle 5 is formed by the intersection of the transversal with upper N. To find the alternate interior angle to angle 5, we need to look for an angle on the opposite side of the transversal and in between the parallel lines.
Looking at the figure, we can see that angle 7 is on the opposite side of the transversal and in between the parallel lines. Therefore, angle 7 is the alternate interior angle to angle 5.