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What is the measure of angle AEF? What is the perimeter of triangle ECF? That is, what is the value of EC + CF + FE?

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The square ABCD has a side length equal to 1. Suppose E is on side DC, F is on side BC, ∠EAF = 45°, and ∠AFB = 70°, as shown.

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Part 1: What is the measure of angle AEF?

Part 2: What is the perimeter of triangle ECF? That is, what is the value of EC + CF + FE?

posted Jul 2 by Vikram Luthra

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