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If two lines are intersected by a transversal and the same-side interior angles are supplementary then, the lines are parallel. Theorem: In a plane, if two lines are perpendicular to the same line then the lines are parallel. Theorem: Through a point not on the line, there is exactly one line parallel to the given line. Theorem: Through a point ...

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When the transversal intersects two parallel lines: • Pairs of corresponding angles are equal. • Worked-out problems for solving parallel and transversal lines: 1. In adjoining figure l ∥ m is cut by Leave me a comment in the box below. Ask a Question or Answer a Question. Didn't find what you...

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8. If two parallel lines are cut by a transversal, then each pair of alternate exterior angles are a. congruent b. supplementary 9. If two parallel lines are cut by a transversal, then each pair of corresponding angles are a. congruent b. supplementary 10. If two parallel lines are cut by a transversal, then each pair of same side interior ...

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Answer: As it is known that corresponding angles can be supplementary when the transversal intersects two parallel lines perpendicularly this is at 90 degrees. Thus, in such a case, each of the corresponding angles is going to be 90 degrees and their sum will add up to 180 degrees which is supplementary. 5 As shown in the diagram below, lines m and n are cut by transversal p. If m∠1 =4x +14 and m∠2 =8x +10, lines m and n are parallel when x equals 1) 1 2) 6 3) 13 4) 17 6 In the diagram below, line p intersects line m and line n. If m∠1 =7x and m∠2 =5x +30, lines m and n are parallel when x equals 1) 12.5 2) 15 3) 87.5 4) 105

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Glencoe Geometry. Lesson 3-2 Parallel Lines and Angle Pairs. When two parallel lines are cut by a transversal, the following pairs of angles are congruent. •corresponding angles • alternate interior angles alternate exterior angles Also, consecutive interior angles are supplementary.

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When the lines are parallel, the corresponding angles are congruent . When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles . In the above figure, the consecutive interior angles are: ∠ 3 and ∠ 6 ∠ 4 and ∠ 5. To help you remember: the angle pairs are on Alternate sides of the Transversal, and they are on the Exterior of the two crossed lines. Parallel Lines. When the two lines being crossed are Parallel Lines the Alternate Exterior Angles are equal. (Click on "Alternate Exterior Angles" to have them highlighted for you.)