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If A B C D is a rectangle with /B A C=32...

If `A B C D` is a rectangle with `/_B A C=32^@,` find the measure of `/_D B C`

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In rectangle ABCD,
`/_BAC=32^@`
Diagonals bisect each other at O.
so
`OA=OB`
`/_OBA(/_DBA)=/_BAC=32^@`[Angles opposite to equal sides are equal]
But
`/_ABC=90^@`(Angle of a rectangle)
`/_DBC=/_ABC−/_DBA=90^@−32^@=58^@`
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