Need geometry help please?

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Oct 28th, 2015

Thank you for the opportunity to help you with your question!

DE and GH are similar sides on the triangle and thus have the ratio of 6:10 or 3:5. They are similar sides because they go from angle 1 to angle 2.

EF and HI are similar sides because they go from angle 2 to angle 3.

EF=4.5 so HI = 7.5 = t. This keeps the ratio of 3:5. All sides keep the same ratio in similar triangles.

FD and IG are similar sides because they go from angle 3 to angle 1.

FD=7.5=q because IG=12.5 and this keeps the ratio of 3:5.

Thus the answer is D.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 28th, 2015

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