Question

In the figure below, m NKM = 230, KL bisects ZJKM, and KN bisects LKM. Find m2JKL. J K L N M O X​

Answer 1

46°

Explanation:

Given two angle bisectors, and the measure of the smallest angle is 23°, you want to know the measure of half the largest angle.

Bisectors

An angle bisector divides an angle into two congruent parts, each measuring half the original.

The bisector KN of angle LKM creates congruent angles LKN and NKM. That is, angle LKN of 23° is half the measure of angle LKM.

Angle LKM is 2×23° = 46°.

Angle bisector KL creates congruent angles JKL and LKM. This means the measure of angle JKL is equal to that of angle LKM.

angle JKL is 46°

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