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Home > CCG > Chapter 11 > Lesson 11.1.4 > Problem 11-64

11-64.

4 lines arranged as follows: horizontal lines, 1 & 2, are parallel, with 1 above 2, & lines 3 & 4, with 3 left of 4, crossing lines, 1 & 2, 3 & 4 intersect each other, below the parallel lines. Around the 5 points of intersection, angles are labeled as follows, starting in upper left and going clockwise: 1 & 3, a, b, d, c. 2 & 3: e, f, h, g.  1 & 4: q, r, t, s. 2 & 4: u, v, x, w. 3 & 4, starting at top, going clockwise, m, n, p, k.Examine the diagram at right. State the relationship between each pair of angles listed below (such as vertical angles) and state whether the angles are congruent, supplementary, or neither.  

 

See the Math Notes box in Lesson 2.1.4 if you need to review angle relationships.

  1. and 

    corresponding angles, 

  2. and 

    alternate interior angles, 

  3. and 

  4. and