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Home > PC3 > Chapter 6 > Lesson 6.2.2 > Problem 6-92

6-92.

Determine the measurement represented by the variable in each diagram below. Use your knowledge of parallel lines cut by a transversal. 

  1. 2 sets of coordinate axes, one right & up from the other, origins connected with a segment, angle between, front positive y axis & the segment, labeled 75 degrees, angle between, back positive y axis, & the segment, labeled, m.

    Recall the Alternate Interior Angle Theorem from geometry.
    Which angle in the right side of the diagram is ?

  1. 2 sets of coordinate axes, one right & up from the other, origins connected with a segment, & a ray starting at the back axes origin, running down & left, angle between, front positive y axis & the segment, labeled 32 degrees, angle between, back positive y axis, & the ray, labeled 121 degrees, angle between ray & segment labeled, x.

    Label added, angle between back negative x axis, & segment, labeled in blue, 32 degrees.

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