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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°
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°
3 x minus 75 minus 106 degrees equals 180 degrees
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page 12 of 12
1 answer
To find the relationship between the measures of the vertical angles \( m∠1 \) and \( m∠2 \) given \( m∠1 = 106° \) and \( m∠2 = (3x - 75)° \), we can use the property that vertical angles are equal.
Thus, we can set up the equation:
\[ 106° = 3x - 75° \]
To rewrite this in standard equation format, we can rearrange it into:
\[ 3x - 75° = 106° \]
Now, looking at the options provided, the correct equation you can use to solve for \( x \) is:
3x°−75°=106°
