Given: ABCD is a cyclic llgm
To prove : ABCD is a rectangle
Proof :
angle A = angle C(opposite angles of llgm are equal)
angle A angle C = 180 (sum of opposite angles of cyclic quadrilateral is 180)
2angle of A = 180
Angle A = 90
Since, ABCD is a llgm and one angle is 90. So, ABCD is a rectangle.
Hence Proved.
Written on Feb. 9, 2018, 6:09 p.m.