Yes, loads of them, like most trapezoids, kites and diamonds, to name a few.
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"Quadrilateral" simply means "four sided". Some quadrilaterals do have right angles; squares or rectangles, for example. Some have one or two right angles, but some don't have any right (90 degree) angles.
Some shapes have angles and so they are important in defining the shapes. And angles are absolutely critical for angles. They are the very essence of their existence: if it were not for angles then there would be no angles.
Any and all squares and rectangles. Every one of these two shapes has only right angles. Though some triangles also have right angles.
a right triangle, a pentagon w/ a right angle, alot of shapes with right angles.
Triangles can make various shapes depending on their sides and angles. Some common shapes formed by triangles include equilateral triangles (with three equal sides), isosceles triangles (with two equal sides), scalene triangles (with no equal sides), and right triangles (with one 90-degree angle).