Given m∠14+m∠3=180° . Which lines are parallel, if any must be parallel, based on the given information? a∥b by the converse of the same-side interior angles theorem. c∥d by the converse of the corresponding angles theorem. Not enough information to make a conclusion. a∥b by the converse of the alternate interior angles theorem. Two nearly horizontal lines, line c and line d, where line c is above line d. These lines are intersected by two diagonal lines, line a and line b. Line a is to the left of line b. The angles created by each intersection are numbered. From top left, going clockwise, the angles where line a intersects line c are labeled eleven, ten, nine, and twelve. The angles where line b intersects line c are labeled seven, six, five, and eight. The angles where line a intersects line d are labeled fifteen, fourteen, thirteen and sixteen. The angles where line b intersects line d are labeled three, two, one and four.