An inclined transversal passes through two vertical parallel lines labeled upper M and upper N. The angles formed around the intersection point of 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.
If angle 4 is 42° and lines M and N are parallel, give a reason why angle 5 is also 42°.
(1 point)
Responses
Angle 4 and angle 5 are vertical angles, so their measures are congruent.
Angle 4 and angle 5 are vertical angles, so their measures are congruent.
Angle 4 and angle 5 are alternate interior angles, so their measures must be the same.
Angle 4 and angle 5 are alternate interior angles, so their measures must be the same.
Angle 4 and angle 5 are interior angles, so their measures must be the same.
Angle 4 and angle 5 are interior angles, so their measures must be the same.
Angle 4 and angle 5 are corresponding angles, so their measures are congruent.
Angle 4 and angle 5 are corresponding angles, so their measures are congruent.
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1 answer
The correct response is:
Angle 4 and angle 5 are corresponding angles, so their measures are congruent.
Since lines M and N are parallel and angle 4 is formed by the transversal intersecting line M, angle 5, which is at the intersection of the transversal and line N, is a corresponding angle to angle 4. Thus, their measures are equal.
