Question

#1) What is the measure of ∠TVU, and why?

Answer 1

1) Answer: A

because trangles RST is similar  to VUT as:

<RST=<VUT=55 (Angle)

<RTS=<VTU=90 (it seems right angled)  Angle

So by AA similarity...(two angles similarity is enough)

2) Answer:B

y+z=x because exterior angle of a triangle (which is x) must be equal to sum of non-adjacent (y and z) interior angles.

3) Answer: A should be right choice. Step 1 is wrong here which is,

m<m + m<n + m<p=180 (wrong)

It should be:

m<m + m<n + m<0=180 (right)