If angle ywz = 17, what is angle wxy? ok so i'm confused on this because the triangles are congruent so that means they have the same measurement which would make wxy=17, but don't all triangles have total measures of 180 degress? ?me.

We know that

step 1
if ∡YWZ=17°
then
∡XWZ=17°*2> 34°> because triangle XWY and triangle YWZ are congruents

step 2
∡WXY=∡WZY> because triangle XWY and triangle YWZ are congruents
we know that 
the sum of the internal angles of a triangle is 180 degrees
so
180°=∡XWZ+2*∡WXY> ∡WXY=[180-∡XWZ]/2
∡WXY=[180-34°]/2> ∡WXY=73°

the answer is
∡WXY=73°

Cwill be your correct answer