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Grade 8 math · L.6 · Angles and polygons

Angles formed by parallel lines and a transversal

Parallel lines cut by a transversal make equal angles (corresponding, alternate, vertical) and angles that add to 180° (straight line, co-interior).

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  1. Two parallel lines are cut by a transversal. One angle measures 94°. What is the measure of an angle that is its alternate interior angle?

    Answer: 94

  2. Two parallel lines are cut by a transversal. One angle measures 84°. What is the measure of an angle that is on a straight line with it?

    Answer: 96

  3. Two parallel lines are cut by a transversal. One angle measures 66°. What is the measure of an angle that is on a straight line with it?

    Answer: 114

Tip: Parallel lines cut by a transversal make equal angles (corresponding, alternate, vertical) and angles that add to 180° (straight line, co-interior).

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