Proving Cyclic Quadrilateral: Opposite Angles Sum 180°

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A cyclic quadrilateral is defined as a quadrilateral whose vertices lie on a single circle. To prove that the opposite angles of a cyclic quadrilateral sum to 180 degrees, one can use the inscribed angle theorem, which states that an angle inscribed in a circle is half the measure of the arc it subtends. Therefore, the angles opposite each other in a cyclic quadrilateral subtend arcs that together make a complete circle, leading to their sum being 180 degrees. The discussion highlights the need for clarity on definitions and theorems related to cyclic quadrilaterals. Understanding these concepts is crucial for solving related geometry problems.
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Homework Statement



I have got a question that might be easy for you. But, not for me.

I have attached a pic. Please tell me if the quadrilateral inside the circle is a cyclic quadrilateral or not. If it is, then please explain how to prove that it's opposite angles sum up to 180 degrees

Homework Equations



I believe it won't require any equation.



The Attempt at a Solution



No idea !
 

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What is the definition of a cyclic quadrilateral??
 

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