In the diagram, a∥b and b∥c. Find the values of x. PLEASEEE HELP
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The order of the answers doesn't matter.
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Explanation:
a || b means the two lines a and b are parallel
If a || b and b || c, then a || c by the transitive property. Think of it like chaining pieces together.
Since a || c, this means the alternate exterior angles |5x+15| and 100 are congruent, or the same measure.
Solve for x
|5x+15| = 100
5x+15 = 100 or 5x+15 = -100
5x = 100-15 or 5x = -100-15
5x = 85 or 5x = -115
x = 85/5 or x = -115/5
x = 17 or x = -23