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How to determine whether two known pairs of points are on the same line.

If you have a set of parallel lines a and b cut by transversal x, if angle 1 = 167 degrees, what is angle 4 and why. also what is the measure of angle 5 and why? you need to use the names of the angle relationship and explain.

Segment wx is shown explain how you would construct a perpendicular bisector of wx using a compass and a straightedge