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Quadrilateral ABCD is inscribed in circle O, as shown below.
If mZA = 80Â°, mZB = 75Â°, mZC = (y+30)Â°, and mZD = (x – 10)Â°, which statement is true?
1) x = 85 and y = 50
2) x = 90 and y = 45
3) x = 110 and y = 75
4) x = 115 and y = 70

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Transcript

we have a quadrille lateral which is a four sided figure inscribed inside a circle, which means all of your vertex is are on the circle and we’ll name it A B cd And a. is 80°, B is 75, C is y plus 30 & D is X -10. And we need to find X and Y. And to find them opposite angles and subscribe inside a circle of a quadrilateral are supplementary, which means they added to be 1 80. So I can write an equation…