Page 5 - Activity 3 Opposite angles of Cyclic Quadrilateral Ch.10 Circle

A quadrilateral having all the vertices on the boundary of the circle is called a cyclic
quadrilateral.

Question 2:
What is the sum of each pair of opposite angles of a cyclic quadrilateral?
Answer:
180°

Question 3:
If one of the angles of a cyclic quadrilateral is 40°, then what will be the value of its
opposite angle?
Answer:
140°

Question 4:
If a cyclic quadrilateral is a parallelogram, then what is the type of parallelogram?
Answer:
Rectangle

Question 5:
Is the sum of adjacent angles of a cyclic quadrilateral 180°?
Answer:
No, only the sum of opposite angles of a cyclic quadrilateral is 180°.

Question 6:
What is the name of quadrilateral, if each pair of opposite angles is supplementary?
Answer:
Cyclic quadrilateral

Question 7:
What is the type of quadrilateral formed by the internal angle bisectors of cyclic
.quadrilateral?
Answer:
Cyclic quadrilateral

Question 8:
Which property has to be added in a trapezium for making it a cyclic quadrilateral?
Answer:
Non-parallel sides of a trapezium should be equal.