Question

I am in need of am explanation on how to find z!

Answer 1

Answer: 61

The explanation is shown below:

1. By definition, the consecutive angles of a parallelogram are sumplementary, which means that the sum is 180 degrees. And the opposite angles are congruent.

2. Based on this, you have:

`(x+y)+y=180` and
`(2x+3)+z=180`

3.
`z` and
`y` are opposite, therefore:

`z=y`

So:

`(2x+3)+y=180`

4. Solve for
`x` in the equation
`(x+y)+y=180` and substitute it into
`(2x+3)+y=180`:

`x+2y=180\\x=180-2y`

`2(180-2y)+3+y=180`

5. Solve for
`y`:

`360-4y+3+y=180\\-3y=180-363\\y=61\\z=61`