Question

Find the measures of yhe angles made by the intersecting lines at the vertices of an equilateral triangle

Answer 1

In an equilateral triangle , all angles are equal and sum of the angles in a triangle is 180°.

Let x be the equal angle of equilateral triangle.

In ΔABC,

∠A+∠B+∠C=180°

As, it is given that , 

∠A=∠B=∠C=x

⇒x+x+x = 180°

⇒3x = 180°

⇒x = 180°/3

⇒x=60°

Thus, the measure of each angle in an equilateral triangle = 60°

Answer 2

Answer:

Sum of all angles in triangle = 180°

numbers of sides in triangle = 3

so 180/3 = 60°

so your answer is 60°