Circle

[broken night]

A circle is divided into three arcs in the ratio 5:6:7, and tangents to the circle are drawn through the points of division. Find the angles of the resulting triangle.
I think i know what im doing wrong but wanted to know why is that wrong. I used this formula to solve this problem. But i got no idea why is that wrong

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[broken night]

i did this:

1. ((5x+6x)) - 7x) / 2 = 2x
2. ((5x+7x)) - 6x) / 2 = 3x
3. ((7x+6x)) - 5x) / 2 = 4x

but this wont help because
x = 10 and 20 + 30 + 40 is 90 not 180

so whats wrong with this formula

omg

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