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Show that the angles of an equilateral triangle are 60 degree each
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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 =
➡∠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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