show that the angles of an equilateral triangle are 60 degree each
Answers
Step-by-step explanation:
let all angles of triangle be x
therefore 3x=180
on solving we get x=60/proved
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Answer:
Hope you will understand it easily.................
Step-by-step explanation:
We know that in an equilateral triangle All sides are equal......
Here,We can say that sides AB = BC = AC
Now, As AB = AC
∠B = ∠C (Angles opposite to equal sides AB and AC i.e ∠ B and ∠C are equal) - 1
Also, As AB = BC
∠A = ∠C (Angles opposite to equal sides AB and BC i.e ∠A and ∠C are equal) - 2
Now, We can say that -/
∠A = ∠B = ∠C (From 1 and 2) -3
We also know that angle sum property of a triangle is 180°.
Hence, According to the question -/
-/ ∠A + ∠B + ∠C = 180°
Or, ∠A + ∠A + ∠A = 180° (From - 3)
Or, 3 (∠A) = 180°
Or, ∠A = 180 / 3
Or, ∠A = 60°
Now, As ∠A= ∠B = ∠C
Hence,∠A= ∠B = ∠C = 60°
Therefore, Proved that /- all angles in a triangle is 60°( Sixty degree )