Question

find the measurements of the angles made by the intersecting lines at the vertices of an equaletrial triangle
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Answer 1

Step-by-step explanation:

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.

Answer 2

Answer:

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 is 60°..