Question

the lines joining the opposite vertical of regular hexagon Divide it into six points prove that the six triangle formed are congruent​

Answer 1

$\mathbb\green{ANSWER}$

The six sides of the regular hexagon with the two sides connecting them to the center, for six triangles.

The regular hexagon has 6 exterior angles and each one of them is 360/6 = 60 degrees.

The 6 interior angles of the hexagon are supplementary to the exterior angle and are 120 deg. And there are two angles that form the interior angle. And they are the base angles of two different triangles. That is, each of the base angles is 60 degrees.

The six triangles have a common center which is the vertices of the 6 triangles clustered together. Therefore the angles at the center is 360/6 = 60 degrees for each triangle.

So all three angles of the six triangles are 60 deg each.

So there are 6 equilateral triangles that form the regular hexagon.