The two angles of the quadrilateral inscribed in the circle are 56 degrees and 114. Find the smallest of the remaining angles.

As we know from the school geometry course, if a quadrilateral is inscribed in any circle, then the sum of its opposite angles will always be equal to 180 °.
First, we determine what the angle of this quadrangle will be if it is known from the condition that an angle of 56 ° lies opposite it:
180 – 56 = 124.
Now let’s determine what the angle of this quadrangle will be if it is known from the condition that an angle of 114 ° lies opposite it:
180 – 114 = 66
Next, let’s compare them:
124> 66.
Answer: 66 °.