Angles of irregular quadrilateral

[Sheflya]

Can someone solve this problem:



sides a, b, c, d and <α are known values
how to calculate the interior angles of a quadrilateral?

 

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[topsquark]

Can someone solve this problem:



sides a, b, c, d and <α are known values
how to calculate the interior angles of a quadrilateral?

Call x the horizontal distance from the quadrilateral to the angle where [imath]\alpha[/imath] is and y the other unknown distance.

Consider the Law of Sines for the large triangle and the Law of Sines for the little triangle. How many equations can you write? How many more do you need and where could you get it?

-Dan