if the sum of two angles of a triangle is 80° and their difference is 20° find all three angles
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Answer:
40,40,60
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Step-by-step explanation:
Consider a △ABC,
then according to the given condition we have:
∠A+∠B=80o and ∠A−∠B=20o
⇒2∠A=100o
⇒∠A=50o
⇒∠B=30o
Using the sum of all the angles of the triangle is 180o
We have: ∠A+∠B+∠C=180o
⇒50o+30o+∠C=180o
⇒∠C=100o
Hence ∠A=50o, ∠B=30o and ∠C=100o
Hope it works..✌
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