Question

In AUVW, mZU = (92 – 8), m_V = (2x + 2)", and m_W = (3x + 4)
Find m2V.

Answer 1

`m\angle V=30^\circ`

Explanation:

Angles in a Triangle

The sum of the angles in a triangle is 180°. We are given the measure of all angles in the triangle:

`m\angle U=9x-8`

`m\angle V=2x+2`

`m\angle W=3x+4`

Thus:

9x - 8 + 2x + 2 + 3x + 4 = 180

Simplifying:

13x - 2 = 180

Adding 2:

13x = 182

Dividing by 13:

x = 182/13 = 14

x = 14

Now we calculate:

`m\angle V=2x+2=2*14+2=28+2 =30`

`\mathbf{m\angle V=30^\circ}`