There is a pair of vertical angles whose measures are m∠1=106°

and m∠2=(3x−75)°
. What equation can you write to solve for x
?(1 point)
Responses

3x°−75°+106°=90°
3 x minus 75 plus 106 degrees equals 90 degrees

3x°−75°+106°=180°
3 x minus 75 plus 106 degrees equals 180 degrees

3x°−75°−106°=180°
3 x minus 75 minus 106 degrees equals 180 degrees

3x°−75°=106°

1 answer

The measures of vertical angles are always equal. Given that \( m∠1 = 106° \) and \( m∠2 = (3x - 75)° \), you can set them equal to each other to solve for \( x \).

So, the correct equation to write is:

\[ 3x - 75 = 106 \]

Thus, the corresponding response is:

  • \( 3x°−75°=106° \)