4 years ago

Given: KLMN is a trapezoid, KL = MN

Mathematics

1 answer:

Lina20 [59]4 years ago

8 0

Answer:

m∠LNK = 86.8°

Step-by-step explanation:

∵ LH ⊥ KN at H

∵ LK = MN

∵ LM = 3

∴ HN = (13 - 3) ÷ 2 + 3 = 8 ⇒ isosceles trapezium

∵ LN = 89

∴ LH = √(89² - 8²) = 88.64

∵ KH = (13 - 3) ÷ 2 = 5 ⇒ isosceles trapezium

∵ tan ∠LKN = LH/KH = 88.64/5

∴ m∠LKN = 86.77° ≅ 86.8°

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