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The opposite angles of a parallelogram a...

The opposite angles of a parallelogram are `(3x-2)^(@) and (x+48)^(@)`.
Find the measure of each angle of the parallelogram.

Text Solution

Verified by Experts

The correct Answer is:
Angles of parallelogram `= 73^(@), 107^(@), 73^(@), 107^(@)`
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Knowledge Check

  • If the diagonals of a parallelogram are 3hati+hatj-2hatk and hati-3hatj+4hatk , then the area of the parallelogram is -

    A
    `5sqrt(3)` square units
    B
    `10sqrt(3) ` square units
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    `(10)/(sqrt(3))` square units
    D
    `20sqrt(3)` square units
  • ABCD is a parallelogram and angleB -angleC =60^@ , The measures of angleA and angle D are

    A
    `60^@,120^@`
    B
    `60^@,60^@`
    C
    `120^@,120^@`
    D
    `90^@,90^@`
  • The adjacent angles of a rhombus are 2x-35^@ and x+5^@ . Find x.

    A
    `70^@`
    B
    `40^@`
    C
    `35^@`
    D
    `45^@`
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