Is 𝐴𝐵𝐶𝐷 a cyclic quadrilateral?
In any cyclic quadrilateral, we know that the opposite angles sum to 180 degrees. As angles 𝐴 and 𝐶 are opposite, this would mean that angle 𝐴 plus angle 𝐶 must be equal to 180 degrees. 79 degrees plus 62 degrees is equal to 141 degrees. This means that angle 𝐴 plus angle 𝐶 is not equal to 180 degrees. We can therefore conclude that the answer is no, 𝐴𝐵𝐶𝐷 is not a cyclic quadrilateral, as the sum of angles 𝐴 and 𝐶 is not 180 degrees.