Question

Given that L is equidistant from M and K, find KLN.
A. 23
B.33
C. 55
D. 57

Answer 1

The correct answer option is D. 57.

Explanation:

We know that the vertex L is equidistant from M and L.

Also, the two triangles formed in the picture, ΔMLN and ΔKLN are right angled triangles.

Since in triangle MLN, we are given values for two angles (M = 90° and N = 33°), we can find the third angle:

Angle L in ΔMLN = 180 - (90 + 33) = 57°

Angle L in ΔMLN and ΔKLN is congruent, therefore KLN = 57°

Answer 2

D. 57 deg

Explanation:

33 + m<MLN + 90 = 180

m<MLN + 33 = 90

m<MLN = 57

m<KLN = m<MLN = 57