Question

The image shown has two triangles sharing a vertex:

.

What is the measure of ∠WZX, and why?


y, because Triangle UVW is similar to triangle ZXW
y + 50 degrees, because Triangle UVW is similar to triangle ZXW
130 degrees − y, because Triangle UVW is congruent to triangle WXZ

Answer 1

angle wxz = vuw (alternate angle )
angle vuw = 50
angle uwv = 180-100 = 80
angle xwz = 80
angle wzx = 180-130
50

Answer 2

as <v=<x=50
so must be <u=<z=y
because we can imagine the points (u,v,x,z) on a circle & can apply the thorems of circle..