I a circle is circumscribed by a quadrilateral with angles 80, 90, 96, 94, what are the angle of the arcs created by the tangents to the circle?

Question

anonymous · Answer

They would just be the angles of the quadrilateral right?

anonymous · Answer

The circle is inside

anonymous · Answer

that's what I was thinking but something feels off

anonymous · Answer

Okay. Wanted to confirm with someone else. Thanks

anonymous · Answer

I wasn't sure because I read that the angle formed by tangents to a circle is 1/2(greater arc-lesser arc)

danjs · Answer

simple case is a square,  each angle is 90

danjs · Answer

oh right, i remember those things now,

danjs · Answer

sorry my computer did some weird crap...

yeah i know what to do now

danjs · Answer

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danjs · Answer

the radius and tangent lines are perpendicular, the total of those 4 angles is 360, so you can get the centeral angle given that double tangent angle span

danjs · Answer

?? = 360 - 90 - 90 - 80

danjs · Answer

same for the other 3 angles

danjs · Answer

pretty straight forward on that setup when you see it

danjs · Answer

here is a good reference .. this is #5, but the not below that says what i did, with supplimentar angles...

danjs · Answer

http://www.regentsprep.org/Regents/math/geometry/GP15/CircleAngles.htm

anonymous · Answer

So the angles would be 100, 90, 86 and 84