Q1. In a transversal intersecting two parallel lines, if one of the interior angles measures 120 degrees, what is the measure of the corresponding angle?
Solution:
Corresponding angles are equal when two parallel lines are cut by a transversal. Therefore, the corresponding angle also measures 120 degrees.
⏱ Time: 0s
Q2. What can be concluded if two lines are cut by a transversal and the alternate interior angles are equal?
Solution:
If the alternate interior angles are equal, it can be concluded that the two lines are parallel.
⏱ Time: 0s
Q3. If two parallel lines are cut by a transversal and one of the corresponding angles is 30 degrees, what is the measure of the other corresponding angle?
Solution:
Corresponding angles are equal when two parallel lines are cut by a transversal. Thus, the other corresponding angle also measures 30 degrees.
⏱ Time: 0s
Q4. In a transversal intersecting two parallel lines, if one of the alternate interior angles is 85 degrees, what is the measure of the other alternate interior angle?
Solution:
Alternate interior angles are equal when two parallel lines are cut by a transversal. Thus, the other alternate interior angle also measures 85 degrees.
⏱ Time: 0s
Q5. If two parallel lines are cut by a transversal and one of the same-side interior angles is 40 degrees, what is the measure of the other same-side interior angle?
Solution:
Same-side interior angles are supplementary when two parallel lines are cut by a transversal. Therefore, the other angle measures 180 - 40 = 140 degrees.
⏱ Time: 0s
Q6. In a transversal intersecting two parallel lines, if one angle measures 30 degrees, what is the measure of the vertically opposite angle?
Solution:
Vertically opposite angles are equal. Therefore, the vertically opposite angle also measures 30 degrees.
⏱ Time: 0s
Q7. What is the relationship between the exterior angle and the interior angle on the same side when two parallel lines are cut by a transversal?
Solution:
The exterior angle and the interior angle on the same side are supplementary when two parallel lines are cut by a transversal.
⏱ Time: 0s
Q8. In a diagram where two parallel lines are intersected by a transversal, if one of the corresponding angles measures 75 degrees, what is the measure of the other corresponding angle?
Solution:
Corresponding angles are equal when two parallel lines are cut by a transversal. Therefore, the other corresponding angle also measures 75 degrees.
⏱ Time: 0s
Q9. Given two parallel lines cut by a transversal, if one of the same-side interior angles is 40 degrees, what is the measure of the other same-side interior angle?
Solution:
Same-side interior angles are supplementary. Therefore, if one angle is 40 degrees, the other must be 180 - 40 = 140 degrees.
⏱ Time: 0s
Q10. If two parallel lines are cut by a transversal and one of the alternate interior angles is 55 degrees, what is the measure of the other alternate interior angle?
Solution:
By the Alternate Interior Angles Theorem, alternate interior angles are equal, so the other angle also measures 55 degrees.
