81.5k views
4 votes
The image shows a quadrilateral inscribed in a circle.What is the value of x?

The image shows a quadrilateral inscribed in a circle.What is the value of x?-example-1

1 Answer

2 votes

Opposite angles of a cyclic quadrilateral are supplementary in measures; so:

6x + 3x + 6 = 180

Solving for x:

6x + 3x = 180 - 6

9x = 174

x = 19.3

User Priscy
by
5.0k points