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The opposite angles of a cyclic quadrila...

The opposite angles of a cyclic quadrilaterals are supplimentary

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The sum of either pair of opposite angles of a cyclic quadrilateral is 180^(@) OR The opposite angles of a cyclic quadrilateral are supplementary.

In order to prove 'Opposite angles of a cyclic quadrilateral are supplementary .' (1) Draw a neat labelled figure. (2) Write 'Given ' and 'To prove' from the figure drawn by you.

Knowledge Check

  • Three consecutive angles of a cyclic quadrilateral are in the ratio of 1:4: 5. The measure of fourth angle is :

    A
    `120^@`
    B
    `60^@`
    C
    `30^@`
    D
    `80^@`

  • If the opposite sides of a cyclic quadrilateral are equal and the sum of two of the adjacent sides is 10 cm, find the maximum possible area of the quadrilateral (in sq. cm).

    A
    A)100
    B
    B)25
    C
    C)24
    D
    D)data insufficient

    • Similar Questions

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    If bisectors of opposite angles of a cyclic quadrilateral ABCD intersect the circle, circumscribing it at the points P and Q, prove that PQ is a diameter of the circle.

    Theorem 10.11 : The sum of either pair of opposite angles of a cyclic quadrilateral is 180º.

    If two opposite sides of a cyclic quadrilateral are equal,then the other two sides are parallel.

    If two opposite sides of a cyclic quadrilateral are equal; then the other two sides are parallel.

    If the two sides of a pair of opposite sides of a cyclic quadrilateral are equal,prove that its diagonals are equal.

    Definition of Cyclic quadrilateral

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