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OpenStudy (anonymous):
In the diagram below, Circle O is circumscribed about quadrilateral DEFG. What is the value of X?
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OpenStudy (anonymous):
The circle arc subtended by the 119 angle is 2 x 119 = 238 degrees. x subtends (360 - 238) or 122 degrees. So x = 122 / 2 or 61 degrees. These inscribed angles always subtend an arc of the circle equal to 2 times the angle.
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