Solved Problems on Cyclic Quadrilateral.

Introduction to Cyclic Quadrilateral.

A Quadrilateral whose all four vertices lie on the circumference of the same circle is called a Cyclic Quadrilateral. As all the vertices are on same circle, so they are called Concyclic. Thus, a Cyclic Quadrilateral can be circumscribed. The circumcenter may or may not lie in the interior of the Quadrilateral

Sample problems on cyclic Quadrilateral.

Let me help you go through few sample example on Cyclic Quadrilateral.

Problem: 1

The Cyclic Quadrilateral ABCD,
Solution
In the Cyclic Quadrilateral ABCD,
80 + Similarly, 120° + Hence,
Problem: 2

ABCD is a Quadrilateral circumscribed by a circle with center O. The diagonal AC is also the diameter of the circle. Find
Solution:

Since AC is the diameter
therefore, Now, 90° + Hence,