# Given that l is equidistant from m and k, find m a. 23 b. 33 c. 55 d. 57

Given that l is equidistant from m and k, find m
a. 23
b. 33
c. 55
d. 57

## This Post Has 3 Comments

1. lizzyhearts says:

D. 57 deg

Step-by-step explanation:

33 + m<MLN + 90 = 180

m<MLN + 33 = 90

m<MLN = 57

m<KLN = m<MLN = 57

2. jamarstand says:

The
the full question is, Given that L is equidistant from M and K, find m KLN
as we see on the figure
mKLN ≈ mMLN, so 33 = 2y + 23
so 33 - 23 = 2y,   10° = 2y, and then y= 10/2 = 5°

finally, we can tell that mKLN ≈2(5) + 23 = 33°

the answer is B. 33

The correct answer option is D. 57.

Step-by-step 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°