To find the relationship between the angles given that ∠1 and ∠3 are a vertical pair, we can establish the following:
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Vertical angles are equal, so we have: \[ \angle 1 = \angle 3 \]
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If the sum of their measures is given as 68°, we can write: \[ \angle 1 + \angle 3 = 68° \]
Since \(\angle 1\) and \(\angle 3\) are equal, we can say: \[ 2\angle 1 = 68° \] From this, we can define \(x\) as \(\angle 1\): \[ 2x = 68° \]
Thus, the equation that solves for the value of each angle is: \[ 2x = 68° \]
So the correct response is 2x° = 68°.