Question

If wise is a parallelogram and <W=90°, then prove that WISE is rectangle

Answer 1

Hey mate!!!


Given angle W is 90°
so this means opposite angle A would also be 90° (opposite angles of a parallelogram are equal)
and we know that in a parallelogram, adjacent angles sum = 180°

Adjacent angle of W is I
so angle W + angle I = 180°
90 + angle I = 180°
angle I = 180° - 90°
angle I = 90°


So here we get that angle I = 90°

This means opposite angle E would also be of 90° (opposite angles are equal in a parallelogram)


So we have

angle W = angle I = angle S = angle E = 90°



We know that ‘A parallelogram with all angles as 90° is a rectangle’


Hence WISE is a rectangle.



Hope it helps dear friend ☺️