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)

Question

Responses

x°=68°
      x equals 68 degrees

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

2x°=68°
2 x equals 68 degrees

68x°=2°

Answer 1

To find the value of the angles ∠1 and ∠3, we know that vertical angles are equal, meaning ∠1 = ∠3. Given that the sum of their measures is equal to 68°, we can denote the measure of each angle as \( x \). Therefore, we have:

\[ x + x = 68° \]

This simplifies to:

\[ 2x = 68° \]

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

2x° = 68° (which is the option "2x°=68°").

From there, you can solve for \( x \):

\[ x = \frac{68°}{2} = 34° \]

Thus, each angle ∠1 and ∠3 measures 34°.