Mathematics

Mathematics

Problem

For each of the following sets of interior angles of a quadrilateral, decide whether the quadrilateral can be cyclic. Give a clear reason for every case. a. (a) 90∘,  80∘,  90∘,  100∘90^{\circ},\;80^{\circ},\;90^{\circ},\;100^{\circ} b. (b) 95∘,  85∘,  95∘,  85∘95^{\circ},\;85^{\circ},\;95^{\circ},\;85^{\circ} c. (c) 110∘,  70∘,  100∘,  80∘110^{\circ},\;70^{\circ},\;100^{\circ},\;80^{\circ}

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