The two angles of a quadrilateral inscribed in a circle are 26 and 53 degrees. Find the larger of the remaining corners.

As we know from the school geometry course, if a quadrilateral turned out to be inscribed in any circle, then the sum of its opposite angles will always be 180 °.

First, we determine what the angle of this quadrangle will be if it is known from the condition that an angle of 26 ° lies opposite it:

180 – 26 = 154.

Now let’s determine what the angle of this quadrangle will be if it is known from the condition that an angle of 53 ° lies opposite it:

180 – 53 = 127.

Let’s compare the angles:

154> 127.

Answer: 154 °.