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ABCD is a cyclic trapezium , in which AB...

`ABCD` is a cyclic trapezium , in which `AB "||" DC`. If `angleB=75^(@)` , then find other angles.

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`AB "||"CD`
`therefore angle B+ angle C=180^@`
`rArr75^@+angle C=180^@`.
`rArrangleC=180^@-75^@`
`=105^@`
In cyclic quadrilateral `ABCD`,
` angleB+angle D=180^@`
`angleD =180^@-angle B`
`=180^@-75^@`
`=105^@`
similarly,
`angle A+angleC=180^@`
`angle A=180^@-angle C`
`angleA =180^@-105^@`
`=75%^@`
`thereforeangle A =75^@, angle C=105^@` and `angle D=105^@`.
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