Parallel Lines and a Transversal MCQs

Q1. On a city plan, Park Avenue and Lake Avenue lie exactly parallel while a diagonal cycle track crosses both. The angle there measures 38 degrees; what is the measure of the angle sitting in the matching corresponding position where the track meets Lake Avenue?

• A.142
• B.52
• C.38
• D.50

Answer: C. 38

Corresponding angles formed when a transversal crosses two parallel lines are equal. The given angle is 38 degrees, so the corresponding angle is also 38 degrees.

Q2. A ladder leans against a staircase whose two parallel banisters are crossed by the ladder acting as a slant line. An angle of 42 degrees is marked; in the corresponding position at the lower banister, what angle is formed?

• A.48
• B.54
• C.42
• D.138

Answer: C. 42

Corresponding angles formed when a transversal crosses two parallel lines are equal. The given angle is 42 degrees, so the corresponding angle is also 42 degrees.

Q3. Two parallel railway rails are bridged by a single steel girder set at a slant. This angle is 47 degrees; using equality of corresponding angles, what is the angle where the girder meets the far rail?

• A.133
• B.59
• C.47
• D.43

Answer: C. 47

Corresponding angles formed when a transversal crosses two parallel lines are equal. The given angle is 47 degrees, so the corresponding angle is also 47 degrees.