Point o is the center of the circle what is the value of x

The measure of angle x is

Step-by-step explanation:

we know that

The triangle OPQ is a right triangle, because the tangent PQ is perpendicular to the radius OQ

----> because the smaller triangle of the figure inside the triangle OPQ is an isosceles triangle

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

so

In the right triangle OPQ

answer:      

step-by-step explanation:

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80