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Home > GC > Chapter 2 > Lesson 2.1.3 > Problem 2-32

2-32.

Use your knowledge of angle relationships to solve for in the diagrams below. Justify your solutions by naming the geometric relationship.  

  1. A horizontal transversal line cuts two parallel lines. About the point of intersection of the left parallel line and the transversal, bottom, exterior, angle, 5, x + 7 degrees. About the point of intersection of the right parallel line and the transversal, bottom, interior, angle, 9 x minus 63 degrees.

    corresponding angles

  1. A transversal line cuts two horizontal parallel lines. About the point of intersection of the top parallel line and the transversal is the right, interior angle, 12 x minus 14 degrees. About the point of intersection of the bottom parallel line and the transversal is the left, interior angle, 5 x + 21 degrees, and the right interior angle, 20 x + 34 degrees.

    Multiple relationships can be used to solve for .