current skill $ show answer (1) request help 3x + 164 7 5 6 3 4 -x + 116 2 find the measure of angle 3.

Question

Accepted Answer

# Explanation:
## Step1: Use the property of vertical angles and supplementary angles
Since the two lines are parallel, $3x + 164$ and $-x + 116$ are supplementary. So $3x+164+(-x + 116)=180$.
## Step2: Solve the equation for $x$
Simplify the equation:
$$
\begin{align*}
3x+164 - x+116&=180\
2x+280&=180\
2x&=180 - 280\
2x&=- 100\
x&=-50
\end{align*}
$$
## Step3: Find the measure of $\angle3$
Substitute $x = - 50$ into $-x + 116$. Then $\angle3=-(-50)+116$.
$$
\begin{align*}
\angle3&=50 + 116\
\angle3&=166
\end{align*}
$$

# Answer:
$166$

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QUESTION IMAGE

Question

Explanation:

Step1: Use the property of vertical angles and supplementary angles

Step2: Solve the equation for \(x\)

Step3: Find the measure of \(\angle3\)

Answer: