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The Converse of the Corresponding Angles Postulate states that if two coplanar lines are cut by a transversal so that a pair of corresponding angles is congruent, then the two lines are parallel. If two lines are cut by a transversal so that same-side interior angles are (congruent, supplementary, complementary), then the lines are parallel. You just need to know where to look. If two lines are cut by a transversal so that alternate interior angles are (congruent, supplementary, complementary), then the lines are parallel. Proving Lines Parallel 134 Chapter 3 Parallel and Perpendicular Lines page 30 and Lesson 2-1 Algebra Solve each equation. Angles and Parallel Lines Algebra and Angle Measures Algebra can be used to find unknown values in angles formed by a transversal and parallel lines. If you can read a book then you can find this type of answer online. 2x +5 =27 11 2. As you will see, there is no real difference between these questions and the questions in the test. 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