Question

In the diagram below, P is circumscribed about quadrilateral ABCD. What is the value of x?

and can you explain briefly please

Answer 1

when a quadrilateral is inscriptible the opposite angles are supplementary
So: A + C = 180°
X + 20° + 110° = 180°
Then:
X = 50°

Answer 2

we know that
In any quadrilateral where the vertices are on the circumference of a circle, the opposite angles add up to
`180` degrees.

So,
in this problem

`(x+20) + 110 = 180 \\ x+130=180 \\ x=180-130 \\ x=50degrees`

therefore

the answer is

`x=50degrees`