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In the given figure, ABCD is a cyclic qu...

In the given figure, ABCD is a cyclic quadrilateral whose diagonals intersect at P such that `/_ DBC = 60^(@)` and `/_ BAC = 40^(@)`
Find `(i) /_ BCD , (ii) /_ CAD`

Text Solution

Verified by Experts

The correct Answer is:
`(i) /_ BCD = 80^(@) (ii) /_ CAD = 60^(@)`
`/_BDC = /_ BAC = 40^(@)` [ angles in the same segment ]
`/_ BCD = 180^(@) - (40^(@) + 60^(@)) = 80^(@)`
`/_CAD = /_ CBD = 60^(@) `[ angles in the same segment ]
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Knowledge Check

  • ABCD is a cyclic quadrilateral whose diagonals intersect at P. If AB = BC, /_DBC = 70^@ and /_BAC = 30^@ , then the measure of /_PCD is :

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