Question

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

Answer 1

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°

Answer 2

Answer:

60°

Step-by-step explanation:

x+x+x=180°

3x=180°

x=180°/3

x=60°

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