Angles and Parallel Lines - Applications

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Q. If angle 4 is 110 degrees and is an exterior angle formed by a transversal intersecting two parallel lines, what is the measure of the corresponding interior angle?
  • A. 70 degrees
  • B. 110 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. If angle A and angle B are alternate exterior angles formed by a transversal cutting two parallel lines, and angle A measures 50 degrees, what is the measure of angle B?
  • A. 50 degrees
  • B. 130 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. If angle A and angle B are alternate interior angles formed by a transversal intersecting two parallel lines, and angle A measures 75 degrees, what is the measure of angle B?
  • A. 75 degrees
  • B. 105 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. If angle A and angle B are same-side interior angles formed by a transversal cutting two parallel lines, and angle A measures 75 degrees, what is the measure of angle B?
  • A. 75 degrees
  • B. 105 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. If angle C is a corresponding angle to angle D and angle D measures 85 degrees, what is the measure of angle C?
  • A. 85 degrees
  • B. 95 degrees
  • C. 75 degrees
  • D. 180 degrees
Q. If two lines are parallel and a transversal creates an angle of 120 degrees with one of the lines, what is the measure of the corresponding angle on the other line?
  • A. 60 degrees
  • B. 120 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. If two parallel lines are cut by a transversal and one of the angles formed is 120 degrees, what is the measure of the corresponding angle?
  • A. 60 degrees
  • B. 120 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. If two parallel lines are cut by a transversal and one of the angles is 30 degrees, what is the measure of the vertically opposite angle?
  • A. 30 degrees
  • B. 150 degrees
  • C. 90 degrees
  • D. 60 degrees
Q. If two parallel lines are cut by a transversal and one of the exterior angles is 150 degrees, what is the measure of the alternate exterior 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 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. If two parallel lines are cut by a transversal and one of the same-side interior angles is 75 degrees, what is the measure of the other same-side interior angle?
  • A. 75 degrees
  • B. 105 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. If two parallel lines are intersected by a transversal and one of the interior angles is 70 degrees, what is the measure of the other interior angle on the same side of the transversal?
  • A. 70 degrees
  • B. 110 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. If two parallel lines are intersected by a transversal and one of the interior angles measures 70 degrees, what is the measure of the other interior angle on the same side of the transversal?
  • A. 70 degrees
  • B. 110 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. In a diagram, if angle 1 and angle 2 are corresponding angles formed by a transversal intersecting two parallel lines, what can be concluded?
  • A. Angle 1 is greater than angle 2.
  • B. Angle 1 is less than angle 2.
  • C. Angle 1 is equal to angle 2.
  • D. Angle 1 and angle 2 are complementary.
Q. In a pair of parallel lines cut by a transversal, if one of the interior angles is 40 degrees, what is the measure of the adjacent interior angle?
  • A. 40 degrees
  • B. 140 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. In a transversal intersecting two parallel lines, if angle 4 is 60 degrees and angle 5 is a corresponding angle, what is the measure of angle 5?
  • A. 60 degrees
  • B. 120 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. In a transversal intersecting two parallel lines, if one of the alternate interior angles measures 35 degrees, what is the measure of the other alternate interior angle?
  • A. 35 degrees
  • B. 145 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. In a transversal intersecting two parallel lines, if one of the alternate interior angles is 35 degrees, what is the measure of the other alternate interior angle?
  • A. 35 degrees
  • B. 145 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. In a transversal intersecting two parallel lines, if one of the corresponding angles measures 75 degrees, what is the measure of the other corresponding angle?
  • A. 75 degrees
  • B. 105 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. In a transversal intersecting two parallel lines, if one of the interior angles is 30 degrees, what is the measure of the exterior angle adjacent to it?
  • A. 30 degrees
  • B. 150 degrees
  • C. 90 degrees
  • D. 60 degrees
Q. What is the measure of angle 3 if angle 1 is 45 degrees and angle 3 is an alternate exterior angle to angle 1?
  • A. 45 degrees
  • B. 135 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. What is the relationship between the consecutive interior angles formed by a transversal intersecting two parallel lines?
  • A. They are equal.
  • B. They are complementary.
  • C. They are supplementary.
  • D. They are adjacent.
Q. What is the relationship between the exterior angle and the two interior opposite angles in a triangle formed by a transversal intersecting two parallel lines?
  • A. The exterior angle is equal to the sum of the two interior opposite angles.
  • B. The exterior angle is less than the sum of the two interior opposite angles.
  • C. The exterior angle is greater than the sum of the two interior opposite angles.
  • D. There is no relationship.
Q. What is the sum of the interior angles formed by a transversal intersecting two parallel lines?
  • A. 180 degrees
  • B. 360 degrees
  • C. 270 degrees
  • D. 90 degrees
Q. What type of angles are formed when a transversal intersects two parallel lines?
  • A. Complementary angles
  • B. Supplementary angles
  • C. Equal angles
  • D. All of the above
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