The opposite angles of the quadrangle are 120 degrees and 60 degrees.

The opposite angles of the quadrangle are 120 degrees and 60 degrees. Prove that it is fashionable to describe a circle around this quadrangle

The sum of the internal angles of a convex quadrilateral is 360, then the angle (ABC + ADC) = (360 – BAD – BCD) = (360 – 60 – 120) = 180.

In a quadrangle, the sum of opposite angles is 180, therefore, a circle can be described around it, which was required to be proved.



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