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

2x°=68°
2 x equals 68 degrees

68x°=2°
68 x equals 2

x°=68°

Answer 1

To find the measures of the angles ∠1 and ∠3, which are vertical angles, we know that vertical angles are equal. Given that the sum of their measures is 68°, we can set up the equation as follows:

Let x be the measure of each angle. Since ∠1 and ∠3 are equal, the equation would be:

\( x + x = 68° \)

This simplifies to:

\( 2x = 68° \)

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

2x° = 68°

This option reflects that the two angles are equal and together equal 68°.