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How the fuck do I solve for the arc in that triangle? I'm

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How the fuck do I solve for the arc in that triangle?

I'm imaging it like two tangent lines on a triangle, where the two lines intersect is 150 deg angle, and the angles that form between the horizontal line between the two tangent points and the lines are 15 deg each?

This is just part of a physics problem I'm trying to solve. How do I solve for this geometry?
>>
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Okay simplification.

How do I solve for ?
>>
>>7954608
But then I also need the radius of the circle...

Pls help
>>
the sticky explains this
>>
>>7955867
It's not homework :^)
>>
law of cosine that b*tch
>>
>>7954612
[eqn]r = \text{pay attention in class you underage faggot[/eqn]
>>
>>7954608
[eqn]r = \text{pay attention in class you underage faggot}[/eqn]
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