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

To solve for \( x \) given the measures of vertical angles, we know that vertical angles are equal. Therefore, we can set \( m∠1 \) equal to \( m∠2 \).

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

Setting them equal gives us the equation:

\[
3x - 75 = 106
\]

So the correct response is:

**3x°−75°=106°**