Question

Show that the angles of a equilateral triangle are 60 degree each

Answer 1

Here , given is a figure of eq. triangle

AB = BC = CA

we know angle opposite to equal sides are equal .

AB = BC

so , angle C = angle A

similarly , BC = CA

so , angle A = angle B

so , angle A = angle B = angle C

let them equal to x°

we know sum of all angles of triangle is 180°.

x° + x° + x° = 180°

3x° = 180°

x° = 60°

so , all angles are equal to 60°