finding angles in parallel lines

herecomessuccess

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I need to find the lengths of BC and CE. If I knew the interior angles I could use the cosine rule but they haven't given me any angles to work with.
 

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I need to find the lengths of BC and CE. If I knew the interior angles I could use the cosine rule but they haven't given me any angles to work with.
You have similar triangles.
\(\displaystyle \Delta ABC\sim \Delta EDC\)
 
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