Question

prove that any rectangle is cyclic quadrilateral

Answer 1

all angles of a rect are of 90 degree

,La + Lb + Lc + Ld = 90 + 90 + 90 + 90

so La + Lc = 180 degree


in cyclic quad ...sum of opp angles of a triangle is 180 degree
hence proved

hope this helped

Answer 2

Hyy

We know that ..

Each angle of a rectangle is a right angle.

Therefore ,

Sum of oppsite angles of a rectangle is supplementary i.e., 180°

For a cyclic quadrilateral, sum of opposite angles is 180°.

=> 90° + 90° = 180° ( sum of opposite angles of a rectangle ).

Hence, rectangle is a cyclic quadrilateral.

Thank you