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I NEED HELP WITH THIS PLEASE?

I NEED HELP WITH THIS PLEASE?-example-1
User Joaoavf
by
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1 Answer

4 votes

Answer:

37°

Explanation:

∠CDE and ∠ABE are alternate interior angles, so are congruent. That is, if we find ∠ABE, we have the answer to the question.

∠DEA is an exterior angle to ∆ABE, so is equal to the sum of the remote interior angles:

∠DEA = ∠ABE +∠BAE

62° = ∠ABE +25°

∠ABE = 62° -25° = 37°

∠CDE = 37°