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

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  1. 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

  2. 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°

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