Question

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

x°=68°
x equals 68 degrees

2x°=68°
2 x equals 68 degrees

68x°=2°

Answer 1

The vertical angles ∠1 and ∠3 have a sum of their measures equal to 68°. Since vertical angles are congruent, we can set the two angles equal to each other. Let's denote the measure of each angle as x°.

Therefore, we have:

x° + x° = 68°

This simplifies to:

2x° = 68°

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

**2x° = 68°**