Question

If two adjacent angles of a cyclic quadrilateral are 87 degree and 100 degree , then the other two angles of the quadrilateral are​

Answer 1

Let ABCD be the cyclic quadrilateral

Since, Sum of opposite angles of cyclic quadrilateral is 180°.

Therefore,

angle A+ angle C = 180°

87° + angle C = 180°

angle C = 180° - 87°

angle C = 93°

Similarly,

angle B+ angle D = 180°

100° + angle D = 180°

angle D = 180°- 100°

angle D = 80°

Hence, the other two angles of the quadrilateral are 93° and 80°.

Hope it will help you✨✨