The two angles of a four-sided inscribed in a circle are 103 degrees and 131 degrees. Find the smaller of the remaining corners.
By the property of a quadrangle inscribed in a circle, the sum of any two opposite angles of this quadrilateral is 180º.
Therefore, one of the unknown angles is x = 180º – 103º = 77º, and the other y = 180º – 131º = 49º.
Answer: The smaller of the remaining angles is 49º.
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