Answer:
[tex]m\angle V=30^\circ[/tex]
Step-by-step 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:
[tex]m\angle U=9x-8[/tex]
[tex]m\angle V=2x+2[/tex]
[tex]m\angle W=3x+4[/tex]
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:
[tex]m\angle V=2x+2=2*14+2=28+2 =30[/tex]
[tex]\mathbf{m\angle V=30^\circ}[/tex]
