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Not always. A parallelogram only has to have two equal parallel sides and its angles does not have to be 90°. Only two types of parallelogram, the rectangle and the square, have four right angles.
A parallelogram has four vertices- it's a quadrilateral.
A rectangle is a parallelogram, but a parallelogram is not necessarily a rectangle. This is because a parallelogram can be so many other things, like a rhombus or a square.
The questions doesn't make sense. An angle isn't a parallelogram. Parallelograms are types of shapes while an angle are to rays.
You can get 2 triangles by cutting a parallelogram in half