Of course not! There are obtuse and acute triangles.
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Squares, rhombera, and equilateral triangles are always regular.
all regular triangles has 60degreeson each angles.
Six equilateral triangles are found in a regular 6 sided hexagon
Only if it is a regular tetrahedron, regular octahedron, or regular icosahedron. All other geodesics have isosceles triangle faces, not equilateral triangles.
This question is based on a misunderstanding of facts. A triangle can be but need not be a regular polygon. In fact most triangles are not regular: only equilateral triangles are.