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Question

Prove that each angle of an equilateral triangle is 60.

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Solution

Let ABC be an equilateral triangle.

AB=BC=CA



Since, AB = BC

C=A

( Angles opposite to equal sides are equal)

Similarly, A=B

A=B=C ....(1)

We know that,

A+B+C=180

A+A+A=180

3A=180

A=60

A=B=C=60

Hence, proved

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