Quadrilateral ABCD is cyclic, ∠ A = 2x + 3 and ∠C= 3x - 8. Find the measure of ∠C.
37°
77°
103°
119°
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We know in cyclic quadrilateral, the sum of the pair of opposite angles = 180
2x + 3 + 3x - 8 = 180
5x = 185
x = 37
So measure of angle C = 3x - 8 = 3(37) - 8 = 103
2x + 3 + 3x - 8 = 180
5x = 185
x = 37
So measure of angle C = 3x - 8 = 3(37) - 8 = 103
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this is correct........................
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