Question

In the figure below, line a is parallel to line b, with transversal t. What kimd of angles are the 61 degree angle and angle 2.

Answer 1

• supplementary
• m∠2 = 119°

Explanation:

You want to know the relationship between obtuse angle 2 and a given acute angle of 61° where a transversal crosses parallel lines.

Angle relations

Angle 1 and the angle marked 61° are corresponding angles, hence congruent. Angles 1 and 2 form a linear pair, so are supplementary. This means 61° and angle 2 are supplementary.

∠2 = 180° -61°

∠2 = 119°