Question

ABCD is a cyclic quadrilateral angle B=75 degrees then find angle D

Answer 1

We know,

Sum of opposite angles of a cyclic quadrilateral = 180°

∴ ∠B + ∠D = 180°

⇒ 75° + ∠D = 180°

⇒ ∠D = 180° - 75° = 105° (answer).

More about the topic:-

1] A cyclic quadrilateral is a polygon made of 4 sides where the vertices can be drawn in a particular circle. (Example: Square, an isosceles trapezoid.)

2] Area of a cyclic quadrilateral = √s(s - a)(s - b)(s - c)(s - d)

where, s = semi perimeter; a, b, c, d = measurement of sides.