An equiangular triangle is a triangle in which the three angles have the same measure. In other words, the three angles are congruent. In fact, the three angles measure $60^{\circ }$ each. If the angles are measured in radians, then the three measures are equal to $\frac{\pi }{3}.$ Notice that an equiangular triangle is also an acute triangle. In an equiangular triangle, the three sides have the same measure. Therefore, equiangular triangles are also equilateral triangles.