taymicriss76 taymicriss76

13-12-2020
Mathematics

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Prove that the measure of angle JKL is 90 degrees.

Prove that the measure of angle JKL is 90 degrees class=

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jaimitoM jaimitoM

13-12-2020

∡ NKM + ∡KNM + ∡ NMK = 180° Because Angles in a triangle ΔNKM sum to 180°

∡ NKM + 90° + 60° = 180°

∡ NKM = 30°

∡ NKM = ∡JKN = ∡ MKL = 30° because ΔJKM∼ΔNKM∼ΔMKL

Finally:

∡ JKL = ∡ NKM + ∡JKN + ∡ MKL

∡ JKL = 30° + 30° + 30°

∡ JKL = 90°

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