Question 1. If two parallel lines are cut by a transversal and one of the angles formed is 120°, what is the measure of its corresponding angle?

A) 60°

B) 120°

C) 90°

D) 180°

Explanation: Corresponding angles are equal when two parallel lines are cut by a transversal. Hence, if one angle is 120°, the corresponding angle will also be 120°.

Question 2. What is the measure of two angles that are co-interior when two parallel lines are cut by a transversal?

A) They add up to 180°

B) They are equal

C) They add up to 90°

D) They are complementary

Explanation: Co-interior angles (also called same-side interior angles) are supplementary, meaning they always add up to 180°.

Question 3. In a parallelogram, if one angle is 125°, what is the measure of the adjacent angle?

A) 55°

B) 125°

C) 45°

D) 90°

Explanation: In a parallelogram, adjacent angles are supplementary, meaning they add up to 180°. If one angle is 125°, you can find the adjacent angle by subtracting from 180°: ( 180° - 125° = 55° ).

Question 4. If the measure of one angle of a triangle is 60°, and the other two angles are equal, what is the measure of each of the other two angles?

A) 40°

B) 60°

C) 50°

D) 45°

Explanation: In a triangle, the sum of all angles equals 180°. If one angle is 60° and the other two angles are equal, you can set up the equation: ( 60° + x + x = 180° ) This simplifies to ( 2x = 120° ), hence ( x = 60° \). Therefore, each of the other two angles measures 60°.

Question 5. When two lines intersect at a point and form two pairs of equal opposite angles, these angles are called:

A) Complementary angles

B) Vertical angles

C) Adjacent angles

D) Co-interior angles

Explanation: When two lines intersect, they form two pairs of angles that are opposite each other, and these angles are equal. These angles are referred to as vertical angles.

Question 6. Which of the following best describes alternate exterior angles when a transversal cuts two parallel lines?

A) They are supplementary

B) They are equal

C) They are complementary

D) They are both zero

Explanation: Alternate exterior angles are the angles that lie on opposite sides of the transversal and outside the two parallel lines. When the lines are parallel, these angles are equal.

Question 7. If two angles are corresponding when a transversal cuts two parallel lines, what can we conclude about their measures?

A) They add up to 180°

B) They are equal

C) They are complementary

D) They add up to 90°

Explanation: Corresponding angles, which are located at the same relative position at each crossing of the transversal with the parallel lines, are equal in measure when the lines are parallel.

Question 8. What is the relationship between the exterior angle of a triangle and the sum of the opposite interior angles?

A) The exterior angle is larger

B) The exterior angle is equal to the sum of the opposite interior angles

C) The exterior angle is smaller

D) The sum of the opposite interior angles is 180°

Explanation: The exterior angle of a triangle is equal to the sum of the two interior angles that are not adjacent (the opposite interior angles). This is known as the Exterior Angle Theorem.

Question 9. In a parallelogram, if the measure of one angle is 70°, what is the measure of the opposite angle?

A) 70°

B) 110°

C) 180°

D) 90°

Explanation: In a parallelogram, opposite angles are equal. Therefore, if one angle is 70°, the opposite angle is also 70°.

Question 10. If two lines are cut by a transversal and the sum of the angles on the same side of the transversal is 180°, what are these angles called?

A) Corresponding angles

B) Co-interior angles

C) Alternate exterior angles

D) Vertical angles

Explanation: When two parallel lines are cut by a transversal, the angles that are on the same side of the transversal and inside the two lines are called co-interior angles (also known as same-side interior angles). They are supplementary, meaning they add up to 180°.

Your score :