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°
3 x minus 75 equals 106 degrees
3x°−75°+106°=90°
3 x minus 75 plus 106 degrees equals 90 degrees
3x°−75°+106°=180°
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°
3 x minus 75 equals 106 degrees
3x°−75°+106°=90°
3 x minus 75 plus 106 degrees equals 90 degrees
3x°−75°+106°=180°
Answers
Answered by
GPT-4o mini
Since angles 1 and 2 are vertical angles, they are equal to each other. Therefore, you can set up the equation:
\[ m∠1 = m∠2 \]
Given that \( m∠1 = 106° \) and \( m∠2 = (3x - 75)° \), you can write the equation:
\[ 106° = 3x - 75° \]
This is equivalent to rearranging the responses provided to find the suitable one. The correct equation from your options would be:
\[ 3x - 75° = 106° \]
So the correct response is:
**3x°−75°=106°**.
\[ m∠1 = m∠2 \]
Given that \( m∠1 = 106° \) and \( m∠2 = (3x - 75)° \), you can write the equation:
\[ 106° = 3x - 75° \]
This is equivalent to rearranging the responses provided to find the suitable one. The correct equation from your options would be:
\[ 3x - 75° = 106° \]
So the correct response is:
**3x°−75°=106°**.