Vertical angles are angles that are opposite each other when two lines intersect. They are always equal in measure. In this case, if \( m∠1 = 106° \) and \( m∠2 = (3x - 75)° \), then we can set the two angles equal to each other:
\[ 106° = 3x - 75° \]
To solve for \( x \), you can rearrange this equation.
However, in the responses you provided, the correct equation to write based on the vertical angles would be:
\[ 3x - 75° = 106° \]
So the correct answer is:
3x°−75°=106°
(3 x minus 75 equals 106 degrees)
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