In an angle is inscribed in a circle, then the measure of the angle equals one half the measure of its intercepted arc (or the measure intercepted arc is twice the measure of the inscribed angle)
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By the inscribed angle theorem, the measure of an inscribed angle is half the measure of the intercepted arc. The measure of the central angle ∠POR of the intercepted arc ⌢PR is 90°. Therefore, m∠PQR=12m∠POR =12(90°) =45°.