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Home > CC3 > Chapter 9 > Lesson 9.2.7 > Problem 9-151


Examine the diagrams below. What is the geometric relationship between the labeled angles? What is the relationship of their measures? After you determine the relationship of their measures, use the relationship to write an equation and solve for .

  1. 2 diagonal intersecting lines with angles labeled as follows: Top: 3x + 5 degrees, bottom, 5x minus 57 degrees.

    The two angles are vertical angles, which are always equal.

  1. 2 diagonal intersecting lines, with angles labeled as follows: Right, 4 x + 150 degrees,  bottom, 2 x.

    The angles are supplementary.