Prove that measure of each angle of an equilateral triangle is `60^0dot`

Explanation

Let `/_\ABC` be an equilateral triangle. Then,
`AB=BC=CA`
Since angles opposite to equal sides of a triangle are equal.
`thereforeAB=BC` and `BC=CA`
`=>/_C=/_A` and `/_A=/_B`
`=>/_A=/_B=/_C`
But,
`/_A+/_B+/_C=180^@`
Therefore, `3/_A=180^@`
`/_A=60^@`
Thus, `/_A=/_B=/_C=60^@`
Hence, the measure of each angle of an equilateral triangle is `60^@`.