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In figure, find ∠L - Mathematics

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Sum

In figure, find ∠L

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Solution

In ∆ABC and ∆LMN,

`\frac{AB}{LM}=\frac{4.4}{11}=\frac{2}{5}`

`\frac{BC}{MN}=\frac{4}{10}=\frac{2}{5}`

`\frac{CA}{NL}=\frac{3.6}{9}=\frac{2}{5}`

`\Rightarrow \frac{AB}{LM}=\frac{BC}{MN}=\frac{CA}{NL}`

∆ABC ~ ∆LMN (SSS similarity)

∠L = ∠A

= 180º – ∠B – ∠C

= 180º – 50º – 70º = 60º

∠L = 60º

Concept: Similarity
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