To find the measurement of ∠NKI, we first need to understand the construction of the angle bisectors.
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Measurement of ∠JKI is given as 56 degrees.
- Since KM is the angle bisector of ∠JKI, then: \[ \angle JKQ = \angle MKI = \frac{56}{2} = 28 \text{ degrees} \] (where Q is a point on ray KM).
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Next, we construct the angle bisector of ∠MKI (which is now known to be 28 degrees) with ray KN. Thus: \[ \angle MKI = \angle NKI = \frac{28}{2} = 14 \text{ degrees} \]
Now, we can conclude: The measurement of ∠NKI is 14 degrees.
Thus, the correct response is: "The measurement of ∠NKI is 14 degrees."