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Home > GC > Chapter 6 > Lesson 6.1.2 > Problem 6-13

6-13.

Examine the relationships that exist in the diagram at right. Find the measures of angles and . Remember that you can find the angles in any order, depending on the angle relationships you use.

2 horizontal parallel lines are cut by two decreasing transversals intersecting below the parallel lines creating an internal angle, b.  The left transversal line cutting the top parallel line has an interior, right, angle, 97 degrees. It cuts the lower parallel line with an exterior, right, angle, a. The right transversal line cutting the top parallel line has an interior left angle c.  It also cuts the lower parallel line with an interior right angle, d, & an exterior right angle 112 degrees.

Refer to the Math Notes box in Lesson 2.1.4 for extra help.

Use the angles that you know to find the measures of those you do not know.
Use things like corresponding angles, linear pairs, alternate interior angles and the triangle sum theorem.