Two intersecting lines create four angles; ∠1

Question

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°

Answer 1

Since ∠1 and ∠3 are vertical angles, they are equal in measure. Therefore, if we let the measure of each angle be represented by $x$, we can set up the equation as follows:

$$x+x=68°$$

This simplifies to:

$$2x=68°$$

Thus, the correct equation to solve for the value of each angle is:

$$\boxed{{\displaystyle 2x°=68°}}$$