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## Answers

In a equilateral triangle all sides are equal

so, a=b=c

a+a+a=180

3a=180

a=180/3

a=60

Hence proved

The Brainliest Answer!

Draw a line PQ through A parallel to BC.

Then, angle PAB = angle ABC (alternate interior angles) -

__1__Similarly, angle QAC = angle ACB -

__2__angle PAB + angle BAC + angle CAQ = 180 (sum of angles on a line)

Then, from

__1____and__

__2____,__

angle ABC + angle BAC + angle ACB = 180

angle ABC = BAC = ACB (equilateral triangle)

3 * any one of these angles equal = 180

each angle = 180/3 = 60

Thus proven.

Hope it is enough and you understood.