Angles and Parallel Lines - Problem Set

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Q. If angle 3 is 30 degrees and angle 4 is a corresponding angle to angle 3, what is the measure of angle 4?
  • A. 30 degrees
  • B. 60 degrees
  • C. 90 degrees
  • D. 120 degrees
Q. If angle 3 is 30 degrees and angle 4 is a same-side interior angle, what is the measure of angle 4 if the lines are parallel?
  • A. 30 degrees
  • B. 150 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. If angle 3 is 30 degrees and angle 4 is an alternate interior angle, what is the measure of angle 4?
  • A. 30 degrees
  • B. 150 degrees
  • C. 60 degrees
  • D. 90 degrees
Q. If angle 3 is 50 degrees and is an exterior angle formed by a transversal intersecting two parallel lines, what is the measure of the corresponding interior angle?
  • A. 50 degrees
  • B. 130 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, what can be said about their measures?
  • A. They are equal.
  • B. They are complementary.
  • C. They are supplementary.
  • D. They are not related.
Q. If angle A and angle B are alternate exterior angles formed by a transversal intersecting two parallel lines, and angle A measures 30 degrees, what is the measure of angle B?
  • A. 30 degrees
  • B. 150 degrees
  • C. 60 degrees
  • D. 90 degrees
Q. If two lines are parallel and a transversal creates angles of 75 degrees and x degrees, what is the value of x if they are alternate interior angles?
  • A. 75 degrees
  • B. 105 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. If two lines are parallel and a transversal intersects them, which of the following angles are supplementary?
  • A. Alternate interior angles
  • B. Corresponding angles
  • C. Same-side interior angles
  • D. Vertical angles
Q. If two lines are parallel and a transversal intersects them, which of the following angles are equal?
  • A. Consecutive interior angles
  • B. Alternate exterior angles
  • C. Same side interior angles
  • D. All angles
Q. If two lines are parallel and a transversal intersects them, which of the following pairs of angles are always supplementary?
  • A. Alternate interior angles
  • B. Corresponding angles
  • C. Same-side interior angles
  • D. Vertical angles
Q. If two parallel lines are cut by a transversal and one of the corresponding angles is 120 degrees, what is the measure of the other corresponding angle?
  • A. 60 degrees
  • B. 120 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. If two parallel lines are cut by a transversal and one of the interior angles is 40 degrees, what is the measure of the same-side interior angle?
  • A. 40 degrees
  • B. 140 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 120 degrees, what is the measure of the other same-side interior angle?
  • A. 60 degrees
  • B. 120 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 opposite exterior angle?
  • A. 60 degrees
  • B. 120 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. In a pair of parallel lines cut by a transversal, if one of the alternate interior angles is 75 degrees, what is the measure of the other alternate interior angle?
  • A. 75 degrees
  • B. 105 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. In a transversal intersecting two parallel lines, if angle 5 is 150 degrees, what is the measure of angle 6, which is a same-side interior angle?
  • A. 30 degrees
  • B. 150 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. In a transversal intersecting two parallel lines, if one of the interior angles measures 45 degrees, what is the measure of the corresponding angle?
  • A. 45 degrees
  • B. 135 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. In a transversal intersecting two parallel lines, if one of the same-side interior angles measures 45 degrees, what is the measure of the other same-side interior angle?
  • A. 45 degrees
  • B. 135 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. In the figure, if angle 1 is 70 degrees, what is the measure of angle 2 if angle 1 and angle 2 are corresponding angles?
  • A. 70 degrees
  • B. 110 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. In the figure, if angle 1 is 70 degrees, what is the measure of angle 2 if lines are parallel?
  • A. 70 degrees
  • B. 110 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. What is the measure of each angle in a pair of corresponding angles when two parallel lines are cut by a transversal?
  • A. They are always equal.
  • B. They are always supplementary.
  • C. They are always complementary.
  • D. They can be any value.
Q. What is the measure of the corresponding angle if one of the parallel lines is cut by a transversal and one angle measures 45 degrees?
  • A. 45 degrees
  • B. 135 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. What is the sum of the interior angles of a triangle formed by two lines intersecting at a point and a transversal?
  • A. 90 degrees
  • B. 180 degrees
  • C. 270 degrees
  • D. 360 degrees
Q. What is the sum of the measures of the interior angles of a triangle formed by two lines intersecting a transversal?
  • A. 90 degrees
  • B. 180 degrees
  • C. 270 degrees
  • D. 360 degrees
Q. What is the sum of the measures of the same-side interior angles when two parallel lines are cut by a transversal?
  • A. 90 degrees
  • B. 180 degrees
  • C. 360 degrees
  • D. It varies
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