directions: find the value of the variable(s) in each figure. show your work.
16)
(5y - 4)°
3y°
(2x + 13)°

Question

Accepted Answer

# Explanation:
## Step1: Find the value of $ y $
Since $ (5y - 4)^{\circ} $ and $ 3y^{\circ} $ are same - side interior angles and the lines are parallel, they are supplementary.
$$
\begin{align*}
(5y-4)+3y&=180\
5y + 3y-4&=180\
8y&=180 + 4\
8y&=184\
y&=\frac{184}{8}\
y& = 23
\end{align*}
$$
## Step2: Find the value of $ x $
Since $ 3y^{\circ} $ and $ (2x + 13)^{\circ} $ are alternate exterior angles and the lines are parallel, they are equal.
Substitute $ y = 23 $ into $ 3y $: $ 3y=3\times23 = 69 $
Then
$$
\begin{align*}
2x+13&=69\
2x&=69 - 13\
2x&=56\
x&=\frac{56}{2}\
x&=28
\end{align*}
$$
# Answer:
$ x = 28 $ and $ y = 23 $

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Explanation:

Step1: Find the value of \( y \)

Step2: Find the value of \( x \)

Answer: