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3 years ago

Given:

Mathematics

1 answer:

slavikrds [6]3 years ago

6 0

Answer:

45 degrees

Step-by-step explanation:

If KL = MN, and LM =3 and KN = 13, then HN = 13 - (13-3)/2 = 8

LN = sqrt(HN^2 + LH^2) -->

LN = sqrt89 sqrt(8^2 + LH^2) -->

89 = 64 + LH ^2 -->

25 = LH^2 -->

LH = 5

Because HN = 8, HK = 13 - 8 = 5

That makes both legs equal, which makes m∠LKN = 45 degrees

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