This circle is circumscribed about quadrilateral ABCD. What is the value of x?
![This circle is circumscribed about quadrilateral ABCD What is the value of x class=](https://us-static.z-dn.net/files/d33/1e335a1408f8031ed93b70076a09b5ab.png)
Answer:
The value of x is 56°
Step-by-step explanation:
Given that opposite angles in a cyclic quadrilateral is add up to 180°. So in order to find x, you have to write an expression in terms of x :
[tex]97 + x + 27 = 180[/tex]
[tex]x + 124 = 180[/tex]
Next you have to solve it by substracting 124 to both sides :
[tex]x + 124 - 124 = 180 - 124[/tex]
[tex]x = 56[/tex]