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

2x°=68°
2 x equals 68 degrees

2x°+68°=180°
2 x plus 68 degrees equals 180 degrees

68x°=2°

Answer 1

Since angles ∠1 and ∠3 are vertical angles, they are equal in measure. If we let the measure of angle ∠1 be \( x \), then the measure of angle ∠3 is also \( x \). According to the problem, the sum of their measures equals 68°. Therefore, we can write the equation as:

\[ x + x = 68° \]

This simplifies to:

\[ 2x = 68° \]

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

2x° = 68°