Let's copy the diagram and mark the angles we are asked to compare.
We can see that two sides of â–³ XWZ are congruent to two sides of â–³ YZW. However, the third side of â–³ XWZ is longer than the third side of â–³ YZW.
XW&≅YZ
WZ&≅WZ
ZX&> WY
According to the Converse of the Hinge Theorem, the included angle measure in â–³ XWZ is greater than the included angle measure in â–³ YZW.
m∠XWZ> m∠YZW
