Home
Class 9
MATHS
Theorem 10.11 : The sum of either pair o...

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

Text Solution

Verified by Experts


For chord `AB`, angles in same segment are equal.
`/_5=/_8`
Similarly, in chords `BC`, `CD`, and `AD`
`/_1=/_6`
`/_2=/_4`
`/_7=/_3`
Angle sum property of quadrilateral gives
...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Theorem 10.12 : If the sum of a pair of opposite angles of a quadrilateral is 180º, the quadrilateral is cyclic.

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

Knowledge Check

  • The sum of angles of a quadrilateral is

    A
    `180^@`
    B
    `360^@`
    C
    `270^@`
    D
    None of the above

  • The sum of the angles of a quadrilateral is

    A
    180°
    B
    270°
    C
    360°
    D
    300°

  • The sum of all the angles of a quadrilateral is

    A
    `180^(@)`
    B
    `270^(@)`
    C
    `360^(@)`
    D
    `400^(@)`

    • Similar Questions

    Explore conceptually related problems

    Prove that the sum of opposite pair of angles of a cyclic quadrilateral is 180^(@)

    The opposite angles of a cyclic quadrilaterals are supplimentary

    The sum of angles of a concave quadrilateral is

    Theorem 6.7 : The sum of the angles of a triangle is 180º

    The sum of all angles of a quadrilateral is

    Home
    Profile