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?
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To determine which angle is an alternate interior angle to angle 5, we need to recall the definition of alternate interior angles.
Alternate interior angles are a pair of angles that lie on opposite sides of the transversal (in this case, the right inclined transversal) and inside the two parallel lines (upper M and upper N). These angles are congruent or equal in measure.
In the given illustration, angle 5 is formed around the intersection point of upper N. Therefore, we need to find the angle that lies on the opposite side of the transversal (right inclined transversal) and inside the two parallel lines (upper M and upper N).
Inspecting the illustration, we can observe that angle 7 lies on the opposite side of the transversal (right inclined transversal) and inside the two parallel lines (upper M and upper N). Hence, angle 7 is the alternate interior angle to angle 5.
To identify the alternate interior angle to angle 5, we need to recall the properties of alternate interior angles. Alternate interior angles are formed by a transversal intersecting two parallel lines, and they are located on opposite sides of the transversal and inside the two parallel lines.
Looking at the given information, we see that angle 5 is formed around the intersection point of the transversal and upper line N. To find the alternate interior angle to angle 5, we need to identify the angle that is also formed around the intersection point of the transversal and upper line M.
From the given illustration, we can see that angle 6 is formed around the intersection point of the transversal and upper line M. Therefore, angle 6 is the alternate interior angle to angle 5.