Question

Which set of equations is enough information to prove that lines a and b are parallel lines cut by transversal f? m∠4 = 110° and m∠3 = 70° m∠1 = 110° and m∠2 = 110° m∠1 = 110° and m∠3 = 70° m∠2 = 110° and m∠3 = 110°

Answer 1

we know that

If a and b are parallel lines

then

m∠1=m∠4 --------> by alternate exterior angles

m∠3+m∠4= --------> by supplementary angles

so

m∠3+m∠1=

therefore

the answer is the option

m∠1 = 110° and m∠3 = 70°

Explanation:

Answer 2

see the attached figure to better understand the problem

we know that

If a and b are parallel lines

then

m∠1=m∠4 --------> by alternate exterior angles

m∠3+m∠4=
`180\°` --------> by supplementary angles

so

m∠3+m∠1=
`180\°`

therefore

the answer is the option

m∠1 = 110° and m∠3 = 70°