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Angles and Parallel Lines II Honors Geometry Chapter 3, Section 2 Parallel Line Problems 1. Find the measure of each numbered angle in the figure below. Given: Line GH is parallel to ray DK Angle 6 = 75 degrees. Angle 2 = 30 degrees. Parallel Line Problems (cont’) Parallel Line Problems (cont’) Write a two-column proof for theorem 3.1: If two parallel lines are but by a transversal, then each pair of alternate interior angles are congruent. HINT: use Postulate 3.1 HINT: Given : j ll k Prove : 3 6 and 4 5 j k 1 2 5 6 3 4