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4The sum of the angles of a quadrilateral is 360 degrees. The sum of the given angles is 42 + 22 = 64 degrees. Therefore, the sum of the other two angles is 360 - 64 = 296 degrees. Since the quadrilateral is inscribed in a circle, opposite angles are supplementary, meaning they add up to 180 degrees. Therefore, the other two angles are equal to 180 - 42 = 138 degrees and 180 - 22 = 158 degrees.
5The angle AOB is twice the angle BCA. Therefore, if BCA is 30 degrees, then AOB is 60 degrees.
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