Question

73. Which lines are parallel if mZ1 + m2 = 1802 Justify your answer.87kA. i || k, by the Converse of the Same-Side Interior Angles PostulateB. g | h, by the Converse of the Alternate Interior Angles TheoremC. g || h, by the Converse of the Same-Side Interior Angles PostulateD. j || k, by the Converse of the Alternate Interior Angles Theorem

Answer 1

A. j ll k, by the converse of the Same-Side Interior Angles Postulate

Lines j and k are the upward slanted lines on the left and right respectively.

The transversal we care more about is line k.

Line g is actually not important, its just to make tge question complicated.

The Same Side Interior Angles Theorem says that if two lines are parallel, then the same side interior angles are supplementary.

Those two same side interior angles add to 180 degrees. The converse reverses the direction of the theorem

The converse says that if we know the same side interior angles are supplementary, then it leads to the two parallel looking lines to actually being parallel.