Examine Carmen’s plans for rail lines at a train station. 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. What is the measure of angle 2?

<2 and the angle marked 17º are supplementary angles.

m<Angle2 + 17º = 180º

m<Angle2 = 163º

Angle<1 and Angle<2 are alternate interior angles of parallel lines.

m<Angle1 = m Angle2

m<Angle1 = 163º

Explanation:

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