got it? 1. use the diagram at the right. for what values of x and y must efgh be a parallelogram?

Question

Accepted Answer

# Explanation:
## Step1: Use the property of consecutive angles in a parallelogram
In a parallelogram, consecutive angles are supplementary. So, $(4x + 13)+(12x + 7)=180$
$$
\begin{align*}
4x+13 + 12x+7&=180\
16x+20&=180\
16x&=180 - 20\
16x&=160\
x&=\frac{160}{16}\
x& = 10
\end{align*}
$$
## Step2: Use the property of opposite angles in a parallelogram
In a parallelogram, opposite angles are equal. So, $3y-2=y + 10$
$$
\begin{align*}
3y-2&=y + 10\
3y-y&=10 + 2\
2y&=12\
y&=\frac{12}{2}\
y&=6
\end{align*}
$$

# Answer:
$x = 10$ and $y=6$

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QUESTION IMAGE

Question

Explanation:

Step1: Use the property of consecutive angles in a parallelogram

Step2: Use the property of opposite angles in a parallelogram

Answer: