The value of a from the given figure is 105 degrees
Circle theorem
From the given theorem, the quadrilateral is inscribed in a circle. For the quadrilateral, the sum of the opposite angle is supplementary. Hence;
a + 75 = 180 (supplementary)
Subtract 75 from both sides
a + 75 - 75= 180 - 75
a = 180 - 75
a = 105 degrees
Hence the value of a from the given figure is 105 degrees
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