Given that, one of the angles of the parallelogram is 66 degrees.
In a parallelogram, the opposite angles are equal.
[tex]u=66^o[/tex]
Similarly, the other two angles are 3v and 3v.
The sum of the four angles of the parallelogram is 360 degrees.
[tex]66^o+3v+3v+66^o=360^o[/tex]
[tex]6v+132^o=360^o[/tex]
Subtracting 132 from both sides, we get
[tex]6v=360^o-132^o[/tex]
[tex]6v=228^o[/tex]
Dividing both sides by 6, we get
[tex]v=\frac{228^o}{6}[/tex][tex]v=38^o[/tex]
Hence the value of v is 38 degrees.
