Question

Can someone please help me with this asap what is the value of d​

Answer 1

The value of "d" is 80°

Explanation:

Cyclic quadrilaterals are the special group of quadrilaterals with all its base lying on the circumference of the circle. In other words, a quadrilateral inscribed in a circle is called a cyclic quadrilateral.

Cyclic quadrilateral are characterised by some special features such as

• Sum of opposite angles of a cyclic quadrilateral is always a supplementary angle.
• If one of the sides of a cyclic quadrilateral is produced, then the exterior angle so formed is always double of the corresponding interior angle.  

Using the property 1  

We find that since the quadrilateral is cyclic, opposite pairs must be supplementary

100° +∠D must be equal to 180°  

D=180° -100° =80°