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Use your knowledge of angle pair relationships to write an equation and solve for in the diagrams below. Then calculate the measures of the labeled angles. Justify your solutions by naming the theorem.

  1. A horizontal transversal line, crosses two decreasing parallel lines, with angles labeled as follows: left intersection, exterior bottom angle,5,x plus 7 degrees. right intersection, interior bottom angle, 9,x minus 63 degrees.

    corresponding angles

  1. 2 horizontal parallel lines, are crossed by a decreasing transversal line, with angles labeled as follows: Top intersection: interior right angle, 12,x minus 14 degrees. Bottom intersection: Interior left angle, 5,x plus 21 degrees, interior right angle, 20,x plus 34 degrees.

    Multiple relationships can be used to solve for .