Can a quadrilateral be inscribed in a circle if degree measures of its three consecutive angles are: a) 700, 800 and 1900; b) 300, 900 and 1500; c) in the ratio 3 : 7 : 2?

Thank you in advance for your help.

1 answer

opposite angles must be supplementary, So if they are in the ratio 3:2 then they are 108 and 72.

Not sure what all those huge measures refer to. They are certainly not angles of a cyclic quadrilateral.