Problem: A quadrilateral is inscribed in a circle. If an angle is inscribed into each of the four segments outside the quadrilateral, the sum of these four angles, expressed in degrees, is:
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Take a special case, the square, where all the inscribed angles are equal; and each inscribed angle .
or
Let the angles be , and the corresponding . Then , etc. Then .