The two corners of a quadrilateral inscribed in a circle are 102 degrees and 98 degrees. What is the smallest angle of this quadrangle.

You are given a quadrilateral inscribed in a circle. There is a theorem according to which a circle can be described around a quadrilateral only if the sum of its opposite angles is 180 degrees. 102 degrees + 98 degrees = 200 degrees, therefore they are not opposite angles. 180 degrees-102 degrees = 78 degrees – 3 angle 180 degrees – 98 degrees = 82 degrees – 4 angle 78 <82 <98 <102 This means that the smaller angle is 78 degrees.
Answer: The smallest angle of this quadrilateral is 78 degrees.