Question

Transversal m intersects lines a, b, and c such that m∠1=42° and m∠2=140° and m∠3=138°. Which lines are parallel?

Answer 1

Answer:A is parallel to C

Explanation:

Statement | Reason

42*+138*=180* |Corresponding angles

There fore A||C aka a parallel to c

42*+140*=180* | Same side int. angles

Therefore A no || B aka A is not parallel to B

138*=140* | Same side int. Angles

Therefore B And C are not parallel and A,B. and C are not parallel

The answer is A||C or A is parallel to C

Answer 2

Lines a and c.

Explanation:

m∠1=42° and m∠3=138°. 42 + 138 = 180, so the two angles form a 180° angle. That means that lines a and c are parallel.

Hope this helps!