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07-06-2016
Mathematics

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Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle Q?

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Hussain514 Hussain514

17-06-2016

in any inscribed quadrilateral
opposite angles are supplementary
2x + 2x + 4 = 180 --> 4x = 176 --> x = 44°
O = 88° & Q = 92

y + 3y + 8 = 180 ---> 4y = 172 --> y = 43°
P = 43° & R = 137°

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