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

In the adjoining figure, ABCD is a cyclic quadrilateral. If `angleDBC=60^(@)` and `angleBAC=40^(@)` , then find the value of `angleBCD` .

Text Solution

Verified by Experts

Since, ABCD is a cyclic quadrilateral .
`thereforeangle DAC =angle DBC=60^@`
and ` angle DAB=angle DAC+angle CAB`
`=60^@+40^@`
`=100^@`
Now, `angle DAB+angle BCD=180^@`
`rArr100^@+angle BCD =180^@`
`angle BCD =180^@-100^@`
`=806@` .
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