Consider Carmen’s plans. Parallel lines k and l are crossed by transversal t. Line m crosses lines t, k, and l. The angles formed by lines k, t, and m, clockwise from top left are 2, 1, blank, blank, blank (6 x + 5) degrees; formed by lines l and t are blank, (7x minus 4) degrees, blank, blank; formed by lines l and m are 48 degrees, blank, blank, blank.

Carmen used her knowledge of angle relationships to find the value of x in the diagram.

What is the value of x?

x = 5

x = 9

x = 13

x = 16