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look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarr…

Question

look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarrow{vx}$ are parallel lines and $mangle xwy = 69^{circ}$, what is $mangle stw?

$^{circ}$

Explanation:

Step1: Identify angle - relationship

$\angle XWY$ and $\angle STW$ are corresponding angles.

Step2: Apply corresponding - angles property

For parallel lines $\overrightarrow{SU}$ and $\overrightarrow{VX}$, corresponding angles are congruent. So $m\angle STW=m\angle XWY$.

Answer:

$69$