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?

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 answer
(click or scroll down)

👇

Answer 1

Bot GPT 3.5 answered
2 months ago

Since K is the point where the angle bisectors of <JKI and <MKI intersect, we know that angles JKM, MKI, and JKN are all bisected.

First, we find the measurement of <JKM:
<JKM = 1/2 * <JKI
<JKM = 1/2 * 56
<JKM = 28 degrees

Next, we find the measurement of <MKI:
<MKI = 1/2 * <JKM
<MKI = 1/2 * 28
<MKI = 14 degrees

Finally, we find the measurement of <NKI:
<NKI = 1/2 * <MKI
<NKI = 1/2 * 14
<NKI = 7 degrees

Therefore, the measurement of <NKI is 7 degrees.