Question

Circles & angles

Answer 1

@AccessDenied you're smart, help D:

Answer 2

Yes they are tangent lines

Answer 3

Okay, so if we look at that shape made by the tangent lines and the radii...

We can see a quadrilateral here. So, we can just use the fact that the sum of interior angles is \(180(n-2)\) (n=4 here), or 360 degrees.

Answer 4

http://screensnapr.com/v/DjvLHR.jpg

Answer 5

Thats it on paper.

Answer 6

Uhh, did I miss something that I am not seeing? o.O

Answer 7

Then, we just have to add up all the angles in the quadrilateral and we can solve for x.
\(x + 111 + 90 + 90 = 360\)
Although, as we can see, the two 90 degree angles make up half the 360 degrees.
\(x + 111 = 180\)
To shorten, we could say "x and 111 are supplementary" from the diagram. From here, we just subtract 111 and we'll get 'x'.

Answer 8

Oh okay :D