Question

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

3x°−75°=106°

Answer 1

Since ∠1 and ∠2 are vertical angles, they are equal to each other. Therefore, we can set their measures equal to one another:

m∠1 = m∠2

This gives us the equation:

106° = (3x - 75)°

To write it in a more standard form, we can write:

3x - 75 = 106

Thus, the equation to solve for x is:

**3x°−75°=106°**

This option is not explicitly listed but it is likely that "3x°−75°=106°" is meant by the given response "3x°−75°=106°". If "3x°−75°=106°" is taken into account, it is the correct choice. However, if the options above are taken literally, none of them perfectly represent this equation. The closest tangible option would be:

**3x°−75°=106°**

So based on what you provided, the correct response is not listed in the options given. Would you like me to highlight one of the similar options?