prove that every equiangular triangle is equilateral - Maths - Triangles

Question

prove that every equiangular triangle is equilateral

Jovial Deka · Answer

we are given that all the angles of the triangle are equal let us
take triangle ABC Given- angle A = angle B = angle C Now we know A
+ B + C= 180 A + A +A = 180 ( All angles are equal ) 3A= 180 A= 60
so A=B=C=60 HERE, IN TRIANGLE ABC ALL ANGLES ARE EQUAL TO 60 SO,
ITS AN EQUILATERAL TRIANGLE