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find the measure of (overline{qr}).
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Step1: Use the property of congruent angles
Since the two angles at \(P\) and \(R\) are equal, \(\triangle PQR\) is an isosceles triangle. In an isosceles triangle, the sides opposite the equal angles are equal.
Step2: Identify the equal sides
The side opposite the angle at \(P\) is \(QR\), and the side opposite the angle at \(R\) is \(PQ\). Given \(PQ = 27\), so \(QR=27\)
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\(27\)