Question

In the diagram below O id circumscribed about quadrilateral ABCD. What is the value of x?

Answer 1

x = 21

Step-by-step explanation:

x =
`(105)/(5)` = 21 degree will be the answer.

{The sum of angle of opposite circumscribed quadrilateral in circle is 180°}

Answer 2

In a cyclic Quadrilateral , sum of opposite pair of interior angles are Supplementary.

So, ∠A + ∠C=180°

And, ∠B + ∠D=180°

We have to find the value of x.

So, we will use the equation

∠B + ∠D=180°

→5 x +75° =180°

5 x= 180° - 75°

5 x= 105°

Dividing both side by , 5 we get

x=21°

Option C