To solve for the value of each angle, you need to recognize that the measures of vertical angles are equal and that the sum of the angles formed by two intersecting lines is 180°.
Since ∠1 and ∠3 are a vertical pair and their measures sum to 68°, the relationship can be expressed with the equation:
2x = 68°
This equation indicates that each angle (since they are equal) can be represented as x. Therefore, the correct response from the options you provided would be:
2x° = 68° (2 x equals 68 degrees)
You could then solve for x to find each angle:
x = 68° / 2
x = 34°
So each angle (∠1 and ∠3) measures 34°.