Big Ideas Math Geometry, 2014
BI
Big Ideas Math Geometry, 2014 View details
Chapter Review
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Exercise 12 Page 165

Use the Corresponding Angles Converse.

x=23

Practice makes perfect
Both angles are above the lines and to the right of the transversal. Therefore, the angles can be classified as corresponding angles. According to the Corresponding Angles Converse, if the angles are congruent, the lines are parallel. We can therefore write the equation 7x-11=4x+58 Let's solve this equation.
7x-11=4x+58
3x-11=58
3x=69
x=23
When x=23, m ∥ n.