An icosahedron.
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Regular polygons have congruent angles such as squares and equilateral triangles.
A four faced figure is a tetrahedron. If they are all congruent triangles, they are all equilateral triangles and it is a regular tetrahedron - one of the 5 Platonic Solids.
Triangular Pyramid
The Platonic solid known as an octahedron would fit the given description
The tetrahedron has 4 equilateral triangles as its faces.