Angles and Parallel Lines - Case Studies

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Q. If angle 3 is 110 degrees and lines m and n are parallel, what is the measure of angle 4, which is an alternate interior angle?
  • A. 70 degrees
  • B. 110 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. If angle 5 is 110 degrees and lines c and d are parallel, what is the measure of angle 6, which is a corresponding angle?
  • A. 70 degrees
  • B. 110 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. If angle 5 is 60 degrees and it is an exterior angle formed by a transversal with two parallel lines, what is the measure of the corresponding interior angle?
  • A. 60 degrees
  • B. 120 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. If angle A and angle B are alternate exterior angles formed by a transversal intersecting two parallel lines, and angle A measures 45 degrees, what is the measure of angle B?
  • A. 45 degrees
  • B. 135 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. If angle A and angle B are alternate exterior angles formed by two parallel lines cut by a transversal, and angle A measures 45 degrees, what is the measure of angle B?
  • A. 45 degrees
  • B. 135 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. If angle A and angle B are alternate exterior angles formed by two parallel lines and a transversal, and angle A measures 45 degrees, what is the measure of angle B?
  • A. 45 degrees
  • B. 135 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. If two parallel lines are cut by a transversal and one of the exterior angles measures 150 degrees, what is the measure of the adjacent exterior angle?
  • A. 30 degrees
  • B. 150 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. If two parallel lines are cut by a transversal and one of the exterior angles measures 150 degrees, what is the measure of the alternate interior angle?
  • A. 30 degrees
  • B. 150 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. If two parallel lines are cut by a transversal and one of the exterior angles measures 150 degrees, what is the measure of the corresponding interior angle?
  • A. 30 degrees
  • B. 150 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. If two parallel lines are cut by a transversal and one of the interior angles is 30 degrees, what is the measure of the same-side interior angle?
  • A. 30 degrees
  • B. 150 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. If two parallel lines are cut by a transversal and one of the same-side interior angles is 65 degrees, what is the measure of the other same-side interior angle?
  • A. 115 degrees
  • B. 65 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. If two parallel lines are cut by a transversal and one of the same-side interior angles is 130 degrees, what is the measure of the other same-side interior angle?
  • A. 50 degrees
  • B. 130 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. If two parallel lines are intersected by a transversal and one of the exterior angles is 120 degrees, what is the measure of the corresponding interior angle?
  • A. 60 degrees
  • B. 120 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. In a diagram with two parallel lines and a transversal, if angle 3 is 30 degrees, what is the measure of angle 4, which is an alternate interior angle?
  • A. 30 degrees
  • B. 150 degrees
  • C. 90 degrees
  • D. 60 degrees
Q. In a diagram with two parallel lines and a transversal, if angle 3 is 40 degrees, what is the measure of angle 4, which is an alternate interior angle?
  • A. 40 degrees
  • B. 140 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. In a transversal intersecting two parallel lines, if angle 5 measures 120 degrees, what is the measure of the corresponding angle?
  • A. 60 degrees
  • B. 120 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. In a transversal intersecting two parallel lines, if angle 5 measures 75 degrees, what is the measure of the corresponding angle on the opposite side of the transversal?
  • A. 75 degrees
  • B. 105 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. In a transversal intersecting two parallel lines, if angle 5 measures 85 degrees, what is the measure of the corresponding angle on the opposite side of the transversal?
  • A. 85 degrees
  • B. 95 degrees
  • C. 180 degrees
  • D. 75 degrees
Q. In a transversal intersecting two parallel lines, if one of the interior angles measures 55 degrees, what is the measure of the adjacent interior angle?
  • A. 125 degrees
  • B. 55 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. In a transversal intersecting two parallel lines, if one of the interior angles is 75 degrees, what is the measure of the adjacent interior angle?
  • A. 105 degrees
  • B. 75 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. In a transversal intersecting two parallel lines, if one of the interior angles measures 75 degrees, what is the measure of the adjacent interior angle?
  • A. 75 degrees
  • B. 105 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. In the figure, if angle 1 = 70 degrees and lines a and b are parallel, what is the measure of angle 2?
  • A. 70 degrees
  • B. 110 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. What is the sum of the interior angles formed by two parallel lines cut by a transversal?
  • A. 180 degrees
  • B. 360 degrees
  • C. 90 degrees
  • D. 270 degrees
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