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Parallel lines cut by a transversal — Homework
State whether the lines described must be parallel, and name the theorem that justifies your answer.
- 1.Two parallel lines are cut by a transversal. A pair of corresponding angles is formed; one measures 58 degrees. Find the other.
- 2.Two parallel lines are cut by a transversal. A pair of alternate interior angles is formed; one measures 97 degrees. Find the other.
- 3.Two parallel lines are cut by a transversal. A pair of same-side interior angles is formed; one measures 75 degrees. Find the other.
- 4.One angle where a transversal crosses the first of two parallel lines measures 123 degrees. Find its alternate exterior angle at the second line.
- 5.In a figure with two parallel lines cut by a transversal, explain why a pair of alternate interior angles must be congruent, using a corresponding angle and a vertical angle as your reasoning chain.
🌲 Homeschool of the FutureTenth Grade · Math · week 7 homework