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In the diagram, a∥b and b∥c. Find the values of x. PLEASEEE HELP

In The Diagram Ab And Bc Find The Values Of X PLEASEEE HELP class=

Sagot :

I can’t see the picture well , like it type blurry

Answers:  x = 17 or x = -23

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

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