Question

What is the minimum number of degrees that an equilateral triangle can be rotated before it carries onto itself?

Answer 1

since the triangle has equal sides it will carry onto it self at 120, since it can rotate 360 grades only and it has 3 sides so it will rotate in one third of 360 so 120

i hope i helped you

Answer 2

Minimum umber of degrees that an equilateral triangle can be rotated before it carries onto itself = 120°

Explanation:

Refer the figure given below.

We need to find angle ADC to get the same equilateral triangle after rotation.

∠ADC = 180 - ( ∠DAC + ∠DCA) = 180 - ∠DAC - ∠DCA

∠DAC = ∠DCA = 0.5 x 60 = 30°

Substituting

∠ADC = 180 - 30- 30 = 180 - 60 = 120°

Minimum umber of degrees that an equilateral triangle can be rotated before it carries onto itself = 120°