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In the given figure, ABCD is a parallelo...

In the given figure, ABCD is a parallelogram in which `angle BDC =45^(@) and angle BAD=75^(@). " Then, " angle CBD=` ?

A

`45^(@)`

B

`55^(@)`

C

`60^(@)`

D

`75^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
`angle ABD= angle CDB=45^(@) " " ("alt. interior "angle )`.
In `triangle ADB, angle BAD + angle ABD + angle ADB=180^(@).`
`therefore 75^(@)+45^(@)+angle ADB=180^(@) rArr angle ADB=60^(@)`.
`therefore angle CBD= angle ADB=60^(@) " " ("alt. interior "angle).`
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