Question

the sum of the two angles is 80 and their difference is 20 find all the angles​

Answer 1

Answer:

Consider a △ABC,

then according to the given condition we have:

∠A+∠B=80

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and ∠A−∠B=20

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⇒2∠A=100

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⇒∠A=50

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⇒∠B=30

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Using the sum of all the angles of the triangle is 180

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We have: ∠A+∠B+∠C=180

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⇒50

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+30

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+∠C=180

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⇒∠C=100

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Hence ∠A=50

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, ∠B=30

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and ∠C=100

o