<PRE><B>Question 389517</B>
Suppose angle WXY = angle XYZ. Which angle or of XYZ or WXY has the greatest measure?

The answer the book gives is angle W. I am not sure why. Can someone please explain?
-------------

The sketch is not to scale.  Since the interior angles are equal, WX is parallel to YZ.
--------------
You can solve for all the angles, using first the Cosine Law.
{{{15^2 = 12^2 + 14^2 - 2*12*14*cos(W)}}}
cos(W) = 115/336 =~ 0.34226
Do the others the same way, and the smallest cosine is the largest angle.</PRE>