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Given:
A quadrilateral inscribed in a circle.
To find:
The values of a and b.
Solution:
A quadrilateral inscribed in a circle. So, the quadrilateral is a cyclic quadrilateral.
We know that the sum of the opposite angles of a cyclic quadrilateral is 180 degrees.
We know that the measure of arc is twice of measure of subtended angle on that arc.
Therefore, the value of a is 101 degrees and the value of b is 82 degrees.