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 $y$:

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