Question

carlos constructed the angle bisector of ∠jki by constructing ray km. carlos then constructed the angle bisector of ∠mki by constructing ray kn. if the measurement of ∠jki is 56 degrees, what is the measurement of ∠nki? (1 point)
the measurement of ∠nki is degrees

Explanation:

Step1: Find measure of ∠MKI

Since KM is the angle - bisector of ∠JKI and ∠JKI = 56°, then ∠MKI=$\frac{1}{2}$∠JKI.
∠MKI=$\frac{1}{2}\times56^{\circ}=28^{\circ}$

Step2: Find measure of ∠NKI

Since KN is the angle - bisector of ∠MKI, then ∠NKI=$\frac{1}{2}$∠MKI.
∠NKI=$\frac{1}{2}\times28^{\circ}=14^{\circ}$

Answer:

14