directions: find the value of x. (10x - 11)° (3x - 2)° (3x + 1)°

Question

Accepted Answer

# Explanation:
## Step1: Recall angle - sum property of a triangle
The sum of the interior angles of a triangle is 180°. So, $(10x - 11)+(3x - 2)+(3x + 1)=180$.
## Step2: Combine like - terms
$$
\begin{align*}
(10x+3x + 3x)+(-11-2 + 1)&=180\
16x-12&=180
\end{align*}
$$
## Step3: Add 12 to both sides
$$
\begin{align*}
16x-12 + 12&=180+12\
16x&=192
\end{align*}
$$
## Step4: Divide both sides by 16
$$
\begin{align*}
\frac{16x}{16}&=\frac{192}{16}\
x&=12
\end{align*}
$$
# Answer:
$x = 12$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall angle - sum property of a triangle

Step2: Combine like - terms

Step3: Add 12 to both sides

Step4: Divide both sides by 16

Answer: