Cyclic Quadrilateral Angles
Geometry
Level
2
In a cyclic quadrilateral ABCD , ∠A : ∠B : ∠C = 2007:2008:2009. Find ∠B
The answer is 90.
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1 solution
∠ A + ∠ C = 180°
2007x + 2009x = 180°
4016x = 180°
2008x = 90°
so, ∠ B = 2008x° = 90°