What is the name of a triangle that has two equal sides and two equal angles?
An Isosceles Triangle
Equilateral triangle. Also a square. Also a regular pentagon. Also any regular polygon of any number of sides. A shape with equal sides and angles is a called a regular shape. [But there are also other shapes, such as a rhombus, which has equal sides but is not a regular polygon because it does not have equal angles. There is no collective name for such "squashed" polygons".]