find the measure of the missing angle. 40° 150° 30° 110°

Question

Accepted Answer

# Explanation:
## Step1: Recall the triangle angle sum theorem
The sum of the interior angles of a triangle is $180^{\circ}$. Let the missing angle be $x$. Then $x + 20^{\circ}+130^{\circ}=180^{\circ}$.
## Step2: Solve for $x$
$$
\begin{align*}
x&=180^{\circ}-(20^{\circ}+130^{\circ})\
x&=180^{\circ}-150^{\circ}\
x& = 30^{\circ}
\end{align*}
$$

# Answer:
$30^{\circ}$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the triangle angle sum theorem

Step2: Solve for \(x\)

Answer: