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

2x°=68°
2 x equals 68 degrees

x°=68°
x equals 68 degrees

68x°=2°
68 x equals 2

2x°+68°=180°

Answer 1

To solve for the value of each angle given that ∠1 and ∠3 are a vertical pair and their sum is equal to 68°, we can set up the equation based on the information provided. Since ∠1 and ∠3 are equal in measure (as they are vertical angles), we can express this relationship mathematically.

Let \( x \) be the measure of each angle. Then we have the following equation:

\[ x + x = 68° \]

This simplifies to:

\[ 2x = 68° \]

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

2x°=68°

Thus, the answer is 2x° = 68°.