Question

What is the value of x?

Answer 1

75 degrees

Answer 2

Are you sure?

Answer 3

@douglaswinslowcooper

Answer 4

Draw radii to these tangents, giving you two 90 degree
angles. Now you have a quadrilateral with total angles 360o.
That should help.

Answer 5

I don't know how to draw that out.

Answer 6

Go from the center of the circle to the points of contact of the tangents and the circle. I cannot draw here.

Answer 7

I'm bad at drawing.

Answer 8

That's the idea.
You have two 90o angles for sure where the tangents are.
I would guess all four are 90 o but that is just a guess. Sorry.

Answer 9

Ok, I see. Since two are 90 for sure, and there are two more angles, and the sum of all of them need to equal 360, then the other 2 angles are 90 degrees as well.

Thanks for the help.

Answer 10

Good! You are welcome. OS is slow tonight.