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 minus 106 degrees equals 180 degrees

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

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

3x°−75°+106°=90°

Answer 1

Since angles 1 and 2 are vertical angles, they are equal. Therefore, you can set their measures equal to each other.

Given:
- \( m\angle 1 = 106° \)
- \( m\angle 2 = (3x - 75)° \)

You can write the equation as:

\[ 3x - 75 = 106 \]

So, the correct response from the options provided is:

**3x°−75°=106°** (3 x minus 75 equals 106 degrees)