Lines and Angles MCQs

Q1. If two parallel lines are cut by a transversal, then which pair of angles is equal?

• A.Corresponding angles
• B.Co-interior angles
• C.Linear pair
• D.Adjacent supplementary

Answer: A. Corresponding angles

Which principle settles this? Corresponding angles are equal when the two lines are parallel. (Alternate interior angles are also equal, but the option here is corresponding.). Pick: A) Corresponding angles.

Q2. A carpenter cuts a corner brace so that its two parts together form the right angle of a window frame. If one part measures 18 degrees, what is the measure of the other part?

• A.162 degrees
• B.108 degrees
• C.72 degrees
• D.18 degrees

Answer: C. 72 degrees

The two angles complete a right angle, so they are complementary and sum to 90 degrees. Other = 90 - 18 = 72 degrees.

Q3. On a folding table leg, the brace makes a right angle with the floor split into two pieces by a rivet. One piece is 22 degrees; how large is the remaining piece?

• A.68 degrees
• B.22 degrees
• C.112 degrees
• D.158 degrees

Answer: A. 68 degrees

The two angles complete a right angle, so they are complementary and sum to 90 degrees. Other = 90 - 22 = 68 degrees.