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Home > CCG > Chapter 2 > Lesson 2.1.2 > Problem 2-19

2-19.

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

  1. Two intersecting lines. About the point of intersection are the angles labeled clockwise: blank, 3 x + 5 degrees, blank and 5 x minus 57 degrees.

    The labeled angles are vertical angles, so their measures are equal.

  1. Two intersecting lines. About the point of intersection are the angles labeled clockwise: blank, 4 x + 150 degrees, 2 x and blank.

    The labeled angles form a straight angle pair, so they are supplementary.

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