Question

In the diagram below, o is circumscribed about quadrilateral abcd. What is the value of x?

Answer 1

`3x + 72 = 180 \\ 3x = 108 \\ x = 36`
I think the answer is D
hope this would help you

Answer 2

Option D is correct choice.

Explanation:

We are told that o is circumscribed about quadrilateral ABCD and we are asked to find out the value of x.

Since we know that If a quadrilateral is inscribed in a circle then opposite angles of quadrilateral are supplementary.

Now we will set an equation of the given information as:

`3x+72=180`

`3x=180-72`

`3x=108`

`x=(108)/(3) =36`

Therefore, x equals to 36 degrees and option D is the correct choice.