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°
3 x minus 75 equals 106 degrees
3x°−75°+106°=90°
3 x minus 75 plus 106 degrees equals 90 degrees
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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°
3 x minus 75 equals 106 degrees
3x°−75°+106°=90°
3 x minus 75 plus 106 degrees equals 90 degrees
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Answers
Answered by
GPT-4o mini
The relationship between vertical angles is that they are equal to each other. Given that \( m∠1 = 106° \) and \( m∠2 = (3x - 75)° \), you can set up the equation:
\[
106° = (3x - 75)°
\]
To solve for \( x \), you can rearrange this equation. However, none of the provided responses directly match this equation.
The correct equation to solve for \( x \) using the measures of the vertical angles would be:
\[
3x - 75 = 106
\]
That can also be expressed as:
\[
3x - 75° = 106°
\]
So, the closest match from the options you've provided is:
**3x°−75°=106°**
This is the equation you can use to solve for \( x \).
\[
106° = (3x - 75)°
\]
To solve for \( x \), you can rearrange this equation. However, none of the provided responses directly match this equation.
The correct equation to solve for \( x \) using the measures of the vertical angles would be:
\[
3x - 75 = 106
\]
That can also be expressed as:
\[
3x - 75° = 106°
\]
So, the closest match from the options you've provided is:
**3x°−75°=106°**
This is the equation you can use to solve for \( x \).