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Re: In ∆ ABC above, if DE is parallel to AC, then x =
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25 Aug 2017, 00:15

Since DE is parallel to AC, Angle BDE = 60(corresponding angles) Also, the third angle in the triangle is 180 - (60 + 80) = 40 Angle EDA = 180 - 40 = 140(Angles in a straight line sum to 180)

2y = 40(corresponding angles) => y = 20 In ∆EDA, x + y + 140 = 180 Therefore, x = 180 - 140 - 20 = 20(Option E)
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- Because DE parallel with AC, so X must be equal with y --> alternate angles. - So, if we know Y, we know X (X=Y). - From triangle ABC = 180-2Y-80-60=0 --> 2Y=40, Y=20. - Thus X=20.