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Problem 554: Concave Quadrilateral, Angles, Sum
Level: High School, College, Math Education

The figure shows a concave quadrilateral ABCD with angles a, b, c, and x. Prove that x= a+ b + c.
 

Concave Quadrilateral, Angles, Sum
 


 

Hyperbolic kaleidoscope of problem 554 concave Quadrilateral, Angles, Sum

Poincare disk model is a model of 2-dimensional hyperbolic geometry in which the points of the geometry are inside the unit disk, and the straight lines consist of all segments of circles contained within that disk that are orthogonal to the boundary of the disk, plus all diameters of the disk.
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