Question

The image shown has two triangles sharing a vertex:

There are two triangles labeled UVW and WXZ with a common vertex W. In triangle UVW, angle VUW is labeled as y, and angle WVU is labeled as 50 degrees. In triangle WXZ, angle WXZ is labeled as 50 degrees.

What is the measure of ∠WZX, and why?
y over 2, because Triangle UVW is congruent to triangle WXZ
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

I believe the Answer is A but i could be wrong

Answer 2

we can write this formula:
m<UWV = 180-50-y
since UWV, 50, y are interior angles of triangle UWV

Answer 3

= 130

Answer 4

furthermore, we have:
m<ZWX = m<UWV since <ZWX and <UWV are vertical or opposite angles

Answer 5

so we have:
m<UWV= m<ZWX = 130-y

Answer 6

So the answer is D.

Answer 7

yes!

Answer 8

okay i get it

Answer 9

thank you Michele (:

Answer 10

:)