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Problem Solving (PS) | Re: In ∆ ABC above, if DE is parallel to AC, then x =

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Bunuel wrote:

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In ∆ ABC above, if DE is parallel to AC, then x =

(A) 70
(B) 50
(C) 40
(D) 30
(E) 20

[Reveal] Spoiler:



Because angles x and y are alternate interior angles, we see that angle x = angle y.

For triangle ABC, we can create the following equation:

80 + 60 + 2y = 180

2y = 40

y = 20

So x = 20.

Answer: E
...

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