Question

prove that an equalateral angle is an equalateral triangle​

Answer 1

Answer:

the sum of three angles is 180,one angle =60

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$\large\bf\red{Equilateral\; Triangle}$

An equilateral triangle is a triangle in which all the tree sides are same. Measure of all three sides are same means 180/3 = 60. Therefore the measure of all angels are 60° in equilateral triangle.

In the equilateral ∆ABC,

1) ∠BAC = ∠ABC (Angles opposite to equal sides BC and AC)

2) ∠ABC = ∠ ACB (Angles opposite to equal sides AC and AB.

3) ∠BAC = ∠ABC = ∠ ACB (From 1st and 2nd)

∴ ∠BAC + ∠ABC + ∠ ACB = 180°

∴ 60° + 60° + 60° = 180°

∴ The measure of all angels of equilateral triangle is 60°

Hence, proved.