Unknown Circle with two given Tangents and a given radius

[manobouts]

In the following image you can see two lines "f" and "g" (with known formulas)
and a circle with a known radius (R=120) but unknown center
I must find the Coordinates for points B and C
Do you have any idea how i shall proceed?
PS
I tried to find the intersection point of the parallels of "f" and "g" offset 120 but i could not determine their formulas. Do you have any idea about that?

 

[Deleted member 4993]

In the following image you can see two lines "f" and "g" (with known formulas)
and a circle with a known radius (R=120) but unknown center
I must find the Coordinates for points B and C
Do you have any idea how i shall proceed?
PS
I tried to find the intersection point of the parallels of "f" and "g" offset 120 but i could not determine their formulas. Do you have any idea about that?

I do not see points "B and C" in the given diagram?

 

[Cubist]

I tried to find the intersection point of the parallels of "f" and "g" offset 120 but i could not determine their formulas. Do you have any idea about that?

One way to find a parallel, but offset by 120, line is to think about what happens at the y-axis intercept (do you know any angles?)...

 

[manobouts]

I do not see points "B and C" in the given diagram?View attachment 15538

Sorry for my mistake
I meant D and C

 

[manobouts]

One way to find a parallel, but offset by 120, line is to think about what happens at the y-axis intercept (do you know any angles?)...

View attachment 15539

Yes, i do know all angles

 

[Cubist]

Yes, i do know all angles

You can use the angle to find the length labelled "?", and then you'll be very close to having the equation of the parallel line.