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Help me fill in the blanks

Help me fill in the blanks-example-1

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Answer:

Explanation:

In ΔDEC & ΔABC

DE // AB Given

∠A = ∠E Alternate interior angles are equal, DE//AB & AE transversal

∠B = ∠D Alternate interior angles are equal, DE//AB & BD transversal

ΔABC ~ ΔDCE AAA similarity

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