To determine the measurement of \( \angle NKI \), let's follow the steps of the bisector constructions.
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Carlos constructs the angle bisector of \( \angle JKI \) (which measures 56 degrees) and creates ray \( KM \). This means that \( \angle JKM \) and \( \angle MKI \) are each half of \( \angle JKI \): \[ \angle JKM = \angle MKI = \frac{56}{2} = 28 \text{ degrees} \]
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Next, Carlos constructs the angle bisector of \( \angle MKI \) by constructing ray \( KN \), which divides \( \angle MKI \) into two equal angles. Therefore, each angle will measure: \[ \angle MKN = \angle NKI = \frac{28}{2} = 14 \text{ degrees} \]
Thus, the measurement of \( \angle NKI \) is 14 degrees.
The correct response is: The measurement of \( \angle NKI \) is 14 degrees.