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1. Find the measures of the angles made by the intersecting lines at the vertices of an equilateral triangle​

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Answer:

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°

3x = 180°

x = 180°/ 3

x = 60°


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