From which race does this triangle belong to ?

Geometry Level 3

Let AC be a line on the plane and B be a point on AC between A and C . The isosceles triangles PAB and PQC are constructed on one side of the line segment AC such that angle APB = angle BQC = 120 degreess and an isosceles triangle on the other side of AC such that angle ARC = 120 degrees . What sort(type) of triangle triangle PQR is ?

Scalene Triangle Isosceles Right angled isosceles Equilateral Triangle Obtuse - Angled triangle