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) Responses The measurement of ∠NKI is 112 degrees. The measurement of angle upper N upper K upper I is 112 degrees. The measurement of ∠NKI is 14 degrees. The measurement of angle upper N upper K upper I is 14 degrees. The measurement of ∠NKI is 7 degrees. The measurement of angle upper N upper K upper I is 7 degrees. The measurement of ∠NKI is 28 degrees.

Answer 1

To find the measurement of ∠NKI, we can follow the steps below:

1. Understanding the Bisectors:

   • Carlos constructed ray KM as the angle bisector of ∠JKI. Since the measure of ∠JKI is 56 degrees, ray KM divides ∠JKI into two equal parts.
   • Therefore, the measurement of ∠JKM = ∠MKI = 56 degrees / 2 = 28 degrees.

2. Constructing Ray KN:

   • Next, Carlos constructed ray KN as the angle bisector of ∠MKI.
   • Since we found that ∠MKI = 28 degrees, ray KN will divide this angle into two equal parts as well.
   • Therefore, ∠NKI = ∠MKN = 28 degrees / 2 = 14 degrees.

So, the measurement of ∠NKI is 14 degrees.

Thus, the correct responses are:

• The measurement of ∠NKI is 14 degrees.
• The measurement of angle NKI is 14 degrees.