In the preceding figure, ∠AQP ≅ ∠AQB and ∠BQC ≅ ∠CQR. What is the measure of ∠AQC?

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<img alt='Images' src='https://www.fatskills.com/images3/gmat/f0185-02.jpg'>In the preceding figure, ∠<em>AQP</em> ≅ ∠<em>AQB</em> and ∠<em>BQC</em> ≅ ∠<em>CQR</em>. What is the measure of ∠<em>AQC</em>?