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In a cyclic quadrilateral, the ratio of ...

In a cyclic quadrilateral, the ratio of three consecutive angle is 1 : 2 : 3 Find the value of first and third angles.

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The correct Answer is:
First= `45^(@)`,Third=`135^(@)`
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Knowledge Check

  • A cyclic quadrilateral has three successive angles in the ratio 1:2:3. Then the ratio of the second and fourth angle will be :

    A
    `1:1`
    B
    `1:2`
    C
    `2:3`
    D
    `2:1`
  • If the ratio of the length of the sides of the triangle are 3:4:5 , Find the value of the greatest angle.

    A
    `105^@`
    B
    `75^@`
    C
    `60^@`
    D
    None of the above
  • ABCD is a cyclic quadrilateral and the centre of the circle is o. If angleCOD=130^@ , angleBAC=25^@ find the values of angleACB and angleBOC .

    A
    `40^@ , 90^@`
    B
    `50^@ , 90^@`
    C
    `65^@ , 50^@`
    D
    None of the above
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    If the ratio of three angles of a triangle is 2 : 3 : 4, then determine the circular value of the greatest angle .

    The greatest angle of a cyclic quadrilateral is three times the least angle and the other two angles are in the ratio 4:5 . Find the angles in circular measure.

    The ratio of three angles of a triangle is 2 : 5 : 3. The circular measure of greatest angle is_____

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