Question

Use each measure to match each angle with it's measure

Answer 1

Use each measure to match each angle with it's measure​

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The sum of internal angles in a triangle is 180º

Δ NLK

∠ LNK + ∠ LKN + ∠ NLK = 180º

In an equilateral triangle, two of its sides are equal therefore the angles measure the same, ∠ LKN = ∠ NLK

1) Δ NLK

∠ LKN = ?

∠ LNK = 50º

Replacing

50º + 2*∠ LKN = 180º

∠ LKN = (180- 50)/ 2

∠ LKN = 65º

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Can you see the updates?

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The sum of supplementary angles is180º

So then

3) ∠ LNM = 130º

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2) Δ MNL

∠ LMN = ?

Since the sum of internal angles in a triangle is 180º

∠ LNM + ∠ LMN + ∠ NLM= 180º

In an equilateral triangle, two of its sides are equal therefore the angles measure the same, ∠ LMN = ∠ NLM

Replacing

130º + 2 * ∠ LMN = 180º

∠ LMN = (180- 130)/ 2

∠ LMN = 25º

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Answers

1) ∠ LKN = 65º

2 ∠ LMN = 25º

3) ∠ LNM = 130º