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

In the adjoining figure, `ABCD` is a cyclic quadrilateral . If `angleCBX=104^(@)` and `angleCAB=56^(@)`, then find the value of `angleADB`.

A

`28^@`

B

`48^@`

C

`58^@`

D

`18^@`

Text Solution

Verified by Experts

The correct Answer is:
B
Square ` ABCD` is a cyclic quadrilateral.
`therefore angle ADC=angle CBX=104^@`
and `angle BDC=angle CAB` (angles of same segment)
`rArrangleBDC=56^@`
`therefore angle ADB=angle ADC-angle BDC`
`=104^@-56^@`
`= 48^@`
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