Math, asked by Rashika123456, 1 year ago

Plz anyone can answer.It is urgent
Show that the angles of an equilateral triangle are 60 degree each

Answers

Answered by Kartha
8
here's your answer.....
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Answered by Suryavardhan1
7
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_____________________________

☛AB = AC (given)

☞∠B = ∠C ---------1

☛BC = AC (given)

☞∠B = ∠A ---------2

☛AB = BC (given)

☞∠C = ∠A ---------3

▶From equation 1, 2 and 3

➡∠A = ∠B = ∠C

➡∠A + ∠B + ∠C = 180° (Angle Sum Property)

⚫If ∠A, ∠B and ∠C are equal, then we can also assume all angles as ∠A

➡∠A + ∠A + ∠A = 180°

➡3∠A =  \frac{180}{3}


➡∠A= 60°

▶If ∠A is 60° and all angles are equal to 60° then,

⏩∠A = 60°
⏩∠B = 60°
⏩∠C = 60°

✔✔Hence, we proved that all angles of a triangle are equal to 60°.

Suryavardhan1: Thanks for Marking my answer as brainliest
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