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Question
Two intersecting lines create four angles; ∠1
and ∠3
are a vertical pair. Their sum of their measures is equal to 68°
. What equation solves for the value of each angle?(1 point)
Responses
2x°=68°
2 x equals 68 degrees
68x°=2°
68 x equals 2
x°=68°
x equals 68 degrees
2x°+68°=180°
2 x plus 68 degrees equals 180 degrees
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1 answer
To solve for the value of each angle formed by the intersecting lines, we know that vertical angles are equal. Since ∠1 and ∠3 are a vertical pair, we can denote the measure of each angle as \( x \).
If the sum of the measures of ∠1 and ∠3 is equal to 68° (given), we have:
\[ x + x = 68° \] or \[ 2x = 68° \]
Thus, the correct equation that solves for the value of each angle is:
2x°=68°
