In the preceding figure, , ∠ABC ≅ ∠ADE, and ∠ACB≅ ∠AED. The measure of ∠ADE is 63°. What is the measure of ∠A?

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<img alt='Images' src='https://www.fatskills.com/images3/gmat/f0198-01.jpg'>In the preceding figure, <img alt='Images' src='https://www.fatskills.com/images3/gmat/c0198-01.jpg'/>, ∠<em>ABC</em> ≅ ∠<em>ADE</em>, and ∠<em>ACB</em>≅ ∠<em>AED</em>. The measure of ∠<em>ADE</em> is 63°. What is the measure of ∠<em>A</em>?