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In the adjoining figure, ABCD is a paral...

In the adjoining figure, ABCD is a parallelogram in which `angle BAD =75^(@) and angle CBD=60^(@)`. Then, `angle BDC=`?

A

`60^(@)`

B

`75^(@)`

C

`45^(@)`

D

`50^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
`angle C = angle A = 75^(@)" " ("opposite "angle " of a ||gm").`
In `triangle BCD, angle CBD+angle BCD +angle BDC=180^(@)`
`rArr =60^(@)+75^(@)+angle BDC=180^(@) rArr 135^(@) + angle BDC =180^(@) rArr angle BDC =45^(@).`
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Knowledge Check

  • In the given figure, ABCD is a parallelogram in which angle BAD = 75^@ and angle CBD = 60^@ . Then, angle BDC is equal to

    A
    `60^@`
    B
    `75^@`
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    `45^@`
    D
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    C
    15 `cm^(2)`
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    36 `cm^(2)`

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    A
    `40^(@)`
    B
    `140^(@)`
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    `80^(@)`

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