Consider the following a) Opposite angles of a cyclic quadrilateral are complementary b) The angle at the centre of a circle is twice the angle at the circumference. c) A cyclic quadrilateral has all its vertices on the circumference of the circle Which of the above statement is/are correct?
Consider the following a) Opposite angles of a cyclic quadrilateral are complementary b) The angle at the centre of a circle is twice the angle at the circumference. c) A cyclic quadrilateral has all its vertices on the circumference of the circle Which of the above statement is/are correct? Correct Answer b & c
Concept used:
Properties of the cyclic quadrilateral
Opposite angles of a cyclic quadrilateral are supplementary
A cyclic quadrilateral has all its vertices on the circumference of the circle
Property of the circle
The angle at the centre of a circle is twice the angle at the circumference.
Calculation:
Option 1 is false because the opposite angles of a cyclic quadrilateral are supplementary
Option 2 and Option 3 is correct
∴ The answer of this question is option 2