Q. Given two parallel lines and 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.
180 degrees
D.
90 degrees
Solution
Alternate exterior angles are equal when two parallel lines are cut by a transversal. Therefore, the other alternate exterior angle also measures 120 degrees.
Q. If two lines are parallel and a transversal creates a pair of interior angles that are supplementary, what can be concluded about the lines?
A.
They are not parallel.
B.
They are perpendicular.
C.
They are parallel.
D.
They intersect.
Solution
If the interior angles are supplementary, it indicates that the lines are not parallel, as parallel lines would create equal alternate interior angles.
Q. If two lines are parallel and a transversal intersects them, creating an angle of 30 degrees with one of the parallel lines, what is the measure of the corresponding angle on the other parallel line?
A.
30 degrees
B.
60 degrees
C.
90 degrees
D.
150 degrees
Solution
Corresponding angles are equal when a transversal intersects parallel lines, so the corresponding angle is also 30 degrees.
Q. If two lines are parallel and the angle formed by one line and a transversal is 45 degrees, what is the measure of the alternate exterior angle?
A.
45 degrees
B.
135 degrees
C.
90 degrees
D.
180 degrees
Solution
Alternate exterior angles are equal when two parallel lines are cut by a transversal. Therefore, the alternate exterior angle also measures 45 degrees.
Q. If two parallel lines are cut by a transversal and one of the angles formed is 110 degrees, what is the measure of the alternate interior angle?
A.
70 degrees
B.
110 degrees
C.
90 degrees
D.
180 degrees
Solution
Alternate interior angles are equal when two parallel lines are cut by a transversal. Therefore, the alternate interior angle also measures 110 degrees.
Q. If two parallel lines are cut by a transversal and one of the exterior angles is 130 degrees, what is the measure of the corresponding interior angle?
A.
50 degrees
B.
130 degrees
C.
180 degrees
D.
70 degrees
Solution
Exterior angles and corresponding interior angles are supplementary. Thus, the corresponding interior angle is 180 - 130 = 50 degrees.
Q. If two parallel lines are intersected by a transversal, and one of the corresponding angles measures 45 degrees, what is the measure of the other corresponding angle?
A.
45 degrees
B.
135 degrees
C.
90 degrees
D.
180 degrees
Solution
Corresponding angles are equal when two parallel lines are cut by a transversal, so the other corresponding angle also measures 45 degrees.
Q. In a diagram where line AB is parallel to line CD and line EF is a transversal, if angle 1 is 70 degrees, what is the measure of angle 2, which is an alternate interior angle?
A.
70 degrees
B.
110 degrees
C.
90 degrees
D.
180 degrees
Solution
Since angle 1 and angle 2 are alternate interior angles formed by the transversal cutting through parallel lines, angle 2 is also 70 degrees.
Q. In a transversal intersecting two parallel lines, if one of the corresponding angles is 50 degrees, what is the measure of the other corresponding angle?
A.
50 degrees
B.
130 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 50 degrees.
Q. In a transversal intersecting two parallel lines, if one of the interior angles is 40 degrees, what is the measure of the corresponding exterior angle?
A.
40 degrees
B.
140 degrees
C.
180 degrees
D.
90 degrees
Solution
The corresponding exterior angle is supplementary to the interior angle. Therefore, it measures 180 - 40 = 140 degrees.
