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Question
State the property that is used in each of the following statements?
- If a || b, then ∠1 = ∠5.
- If ∠4 = ∠6, then a || b.
- If ∠4 + ∠5 = 180°, then a || b.
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Solution
- If two parallel lines are cut by a transversal, then each pair of corresponding angles has the same measure.
- If two parallel lines are cut by a transversal, then each pair of alternate interior angles is equal.
- If two parallel lines are cut by a transversal, then each pair of interior angles on the same side of the transversal are supplementary.
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