Question

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

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:

\(x = 12\)