Question

Find the value of each variable in the parallelogram. It’s problem number 2. I’m having trouble figuring out how to solve for v to get the answer that I have written down.

Answer 1

Given that, one of the angles of the parallelogram is 66 degrees.

In a parallelogram, the opposite angles are equal.

`u=66^o`

Similarly, the other two angles are 3v and 3v.

The sum of the four angles of the parallelogram is 360 degrees.

`66^o+3v+3v+66^o=360^o`

`6v+132^o=360^o`

Subtracting 132 from both sides, we get

`6v=360^o-132^o`

`6v=228^o`

Dividing both sides by 6, we get

`v=(228^o)/(6)`
`v=38^o`

Hence the value of v is 38 degrees.