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

x°=68°
x equals 68 degrees

68x°=2°
68 x equals 2

2x°=68°
2 x equals 68 degrees

2x°+68°=180

1 answer

To find the measures of angles ∠1 and ∠3, we can let each angle be represented as \( x \). Since ∠1 and ∠3 are vertical angles, they are equal. Therefore, we can set up the equation:

\[ 2x = 68° \]

So, the correct response that solves for the value of each angle is:

2x° = 68° 2 x equals 68 degrees.

From this equation, you can solve for \( x \).