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

Answer 1

In this problem, angles ∠1 and ∠3 are vertical angles, which means they are equal in measure. If their sum is given as 68°, we can express this relationship with the equation:

\[ \text{∠1} + \text{∠3} = 68° \]

Since ∠1 and ∠3 are equal (let's denote them as x°), we can rewrite this equation as:

\[ x° + x° = 68° \]

This simplifies to:

\[ 2x = 68° \]

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

\[ 2x = 68° \]

Thus, the correct response is 2x° = 68°.