Parallel Line Theorems Quiz

What is the sum of same side interior angles when two parallel lines are cut by a transversal?

• 90 degrees

• 180 degrees

• 45 degrees

• 360 degrees

Which of the following describes alternate interior angles?

• Angles on the same side of the transversal and inside the parallel lines

• Angles on opposite sides of the transversal and inside the parallel lines

• Angles on the same side of the transversal and outside the parallel lines

• Angles on opposite sides of the transversal and outside the parallel lines

How are corresponding angles positioned in relation to the parallel lines and transversal?

• Same position on the same parallel line

• Same position on different parallel lines

• Opposite position on the same parallel line

• Opposite position on different parallel lines

What is the relationship between same side exterior angles?

• They are equal

• They are complementary

• They are supplementary

• They are congruent

What is true about alternate exterior angles?

• They are unequal

• They are congruent

• They are supplementary

• They are complementary

In the first example, what is the measure of angle A if it is a same side interior angle with a measure of 105 degrees?

• 75 degrees

• 90 degrees

• 105 degrees

• 180 degrees

In the first example, what is the measure of angle B if it is an alternate interior angle with angle A?

• 105 degrees

• 90 degrees

• 75 degrees

• 180 degrees

In the second example, what is the value of x if 2x + 3x equals 180?

• 108

• 72

• 36

• 180

In the second example, what is the value of y if 2y + 20 equals 108?

• 88

• 64

• 44

• 108

In the second example, what is the measure of the angle calculated using x = 36 and y = 44?

• 44 degrees

• 180 degrees

• 108 degrees

• 72 degrees