Using alternate interior angles, write an equation in terms of x that will make line m parallel to line n. Find the value of x that makes line m parallel to line n. Use pencil and paper. Find the measures of a different pair of angles that will make line m parallel to line n. Justify your reasoning. Two lines that fall from left to right are labeled m and n. A transversal, t, that rises from left to right intersects the falling lines, forming 4 angles at each intersection. From left to right, above and below the intersection of lines m and t, the angles are labeled as follows: above line t, 2 and 3; below line t, 1 and 78 degrees. From left to right, above and below the intersection of lines n and t, the angles are labeled as follows: above line t, (2 x plus 52) degrees and 6; below line t, 4 and 5.
(The figure is not to scale.)
Which of the following equations will make line m parallel to line n?