Question

In AUVW, VW = UV and mZU = 74º. Find mZV.

Answer 1

We will find the measure of angle V as follows:

*From theorem we have that angles that are opposite to congruent sides are congruent. So, Angle W will also have a measure o 74°. Now, we also have that the sum of all internal angles of a triangle add 180°, so the following is true:

`U+V+W=180\Rightarrow74+V+74=180`

Now, we solve for V:

`\Rightarrow V=32`

So, the measure of angle V is 32°.