contestada

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??

Please help me.

If angle YWZ 17 what is angle WXY Ok so Im confused on this because the triangles are congruent so that means they have the same measurement which would make WX class=

Respuesta :

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°