# Proving that lines are parallel

Hi, I need help solving this problem - any help would be appreciated :)

$$P$$ and $$Q$$ are points on the bisector of the exterior angle $$A$$ of triangle $$ABC$$ with A between $$P$$ and $$Q$$, and $$PB$$ is parallel to $$QC$$. Point $$D$$ is on BC such that $$DP=DQ$$. Prove that $$AB$$ is parallel to $$DQ$$.

Note by Julian Yu
2 years, 2 months ago

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I have drawn a sketch for the problem , but according to your statements DQ is part of PQ,which passes through point A. so far, as DQ & AB , both of them passes through point A , that means , they intersect at point A . therefore they can not be parllel. because they intersect.

- 1 year ago

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