Question

find the measures of the angles made by the interesting 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°

Answer 2

Step-by-step explanation:

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

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°