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Home > CCG > Chapter Ch8 > Lesson 8.3.3 > Problem 8-121

8-121.

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

Two rising parallel lines are cut by 2 transversals intersecting at the left side forming two triangles sharing a common vertex, angle, b. Angle, a, is the bottom, left where the top transversal & left parallel line meet.  97 degrees, is the bottom, left where the same line & right parallel line meet. About the bottom transversal & the left parallel line is the left, bottom angle, 112 degrees, & the right, bottom angle, d. About the same line & the right parallel line is the left, top angle, c.

Refer to the Math Notes box from 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.