in the figure below, $ riangle stu$ is drawn. the line $overleftrightarrow{vsw}$ is drawn such that $overleftrightarrow{vsw}paralleloverline{tu}.$
$mangle stu =$ because they are

Question

in the figure below, $	riangle stu$ is drawn. the line $overleftrightarrow{vsw}$ is drawn such that $overleftrightarrow{vsw}paralleloverline{tu}.$
$mangle stu =$  because they are

Accepted Answer

# Explanation:
## Step1: Recall angle - sum property of a triangle
The sum of the interior angles of a triangle is 180°. In $\triangle STU$, we know two of the angles: $\angle T = 38^{\circ}$ and $\angle U=61^{\circ}$. Let $\angle S = y$. Then $y + 38^{\circ}+61^{\circ}=180^{\circ}$.
## Step2: Solve for $\angle S$ in $\triangle STU$
$$
\begin{align*}
y&=180^{\circ}-(38^{\circ} + 61^{\circ})\
y&=180^{\circ}-99^{\circ}\
y& = 81^{\circ}
\end{align*}
$$
## Step3: Use linear - pair property
Since $\angle x$ and $\angle S$ in $\triangle STU$ form a linear - pair (a straight - line measures 180°), if $\angle S = 81^{\circ}$, then $x+81^{\circ}=180^{\circ}$.
## Step4: Solve for $x$
$$
\begin{align*}
x&=180^{\circ}-81^{\circ}\
x&=99^{\circ}
\end{align*}
$$
# Answer:
99

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QUESTION IMAGE

Question

Explanation:

Step1: Recall angle - sum property of a triangle

Step2: Solve for \(\angle S\) in \(\triangle STU\)

Step3: Use linear - pair property

Step4: Solve for \(x\)

Answer: