To solve for the measurement of angle \( \angle NKI \) given that \( \angle JKI \) measures 56 degrees, we can follow these steps:
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Since Carlos constructed ray \( KM \) as the angle bisector of \( \angle JKI \), the measure of each of the resulting angles \( \angle JKM \) and \( \angle MKI \) will be half of \( \angle JKI \): \[ \angle JKM = \angle MKI = \frac{56^\circ}{2} = 28^\circ. \]
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Next, Carlos constructs ray \( KN \) as the angle bisector of \( \angle MKI \). Therefore, the measure of each of the angles created by \( KN \) will be half of \( \angle MKI \): \[ \angle NKI = \frac{28^\circ}{2} = 14^\circ. \]
Thus, the measurement of \( \angle NKI \) is 14 degrees.
The correct response is: The measurement of \( \angle NKI \) is 14 degrees.