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Home > GC > Chapter 6 > Lesson 6.2.5 > Problem 6-82

6-82.

Two parallel transversal lines cross two parallel lines. The top left intersection are angles starting at top left going clockwise: a, b, d, and c. The top right intersection are angles starting at top left going clockwise: m, f, h, and g. The bottom left intersection are angles starting at the top left going clockwise: t, r, u, and s. The bottom right intersection are angles starting at the top left going clockwise, and labeled as follows: q, n, p, and k.Examine the angles formed by parallel lines at right.

  1. If and , solve for . Justify your answer.

  2. If , what is ? Justify your answer.

  3. If , then what is ? Justify your answer.

How are and related? How can you use this relationship to solve for ?

Does relate to another angle that might help you determine the measure of ?

Relate or .

What is the relationship between and ? How does this help you determine the measure of ?