Q. Given two parallel lines cut by a transversal, if one of the alternate exterior angles is 120 degrees, what is the measure of the other alternate exterior angle?
A.
60 degrees
B.
120 degrees
C.
90 degrees
D.
180 degrees
Solution
Alternate exterior angles are equal when two parallel lines are cut by a transversal. Thus, the other alternate exterior angle also measures 120 degrees.
Q. 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?
A.
40 degrees
B.
140 degrees
C.
180 degrees
D.
90 degrees
Solution
Same-side interior angles are supplementary. Therefore, if one angle is 40 degrees, the other must be 180 - 40 = 140 degrees.
Q. If two parallel lines are cut by a transversal and one of the alternate exterior angles is 120 degrees, what is the measure of the other alternate exterior angle?
A.
60 degrees
B.
120 degrees
C.
90 degrees
D.
180 degrees
Solution
Alternate exterior angles are equal when two parallel lines are cut by a transversal. Thus, the other angle also measures 120 degrees.
Q. 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?
A.
55 degrees
B.
125 degrees
C.
90 degrees
D.
180 degrees
Solution
By the Alternate Interior Angles Theorem, alternate interior angles are equal, so the other angle also measures 55 degrees.
Q. If two parallel lines are cut by a transversal and one of the corresponding angles is 150 degrees, what is the measure of the other corresponding angle?
A.
30 degrees
B.
150 degrees
C.
90 degrees
D.
180 degrees
Solution
Corresponding angles are equal when two parallel lines are cut by a transversal. Hence, the other corresponding angle also measures 150 degrees.
Q. 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?
A.
30 degrees
B.
150 degrees
C.
90 degrees
D.
60 degrees
Solution
Corresponding angles are equal when two parallel lines are cut by a transversal. Thus, the other corresponding angle also measures 30 degrees.
Q. If two parallel lines are cut by a transversal and one of the same-side exterior angles is 110 degrees, what is the measure of the other same-side exterior angle?
A.
70 degrees
B.
110 degrees
C.
90 degrees
D.
180 degrees
Solution
Same-side exterior angles are supplementary when two parallel lines are cut by a transversal. Therefore, the other angle measures 180 - 110 = 70 degrees.
Q. 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?
A.
40 degrees
B.
140 degrees
C.
180 degrees
D.
90 degrees
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.
Q. 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?
A.
75 degrees
B.
105 degrees
C.
90 degrees
D.
180 degrees
Solution
Corresponding angles are equal when two parallel lines are cut by a transversal. Therefore, the other corresponding angle also measures 75 degrees.
Q. 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?
A.
95 degrees
B.
85 degrees
C.
75 degrees
D.
180 degrees
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.
Q. In a transversal intersecting two parallel lines, if one of the interior angles measures 120 degrees, what is the measure of the corresponding angle?
A.
60 degrees
B.
120 degrees
C.
180 degrees
D.
90 degrees
Solution
Corresponding angles are equal when two parallel lines are cut by a transversal. Therefore, the corresponding angle also measures 120 degrees.
