ABCD is a rectangle with angle BAC=32degree. Determine angle DBC
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dbc=32
because it is the corresponding angel of bac
because it is the corresponding angel of bac
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Step-by-step explanation:
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Suppose the diagonals AC and AB intersect at O.
• In△OAB,wehave:−
OA = OB ( ∵ diagonals of a rect. are equal & bisect each other . )
⟹∠OAB=∠OBA
⟹∠BAC=∠DBA
⟹∠DBA=32°(∵∠BAC=32°)
___________________
Now,
∠ABC=90°
⟹∠DBA+∠DBC=90°
⟹32°+∠DBC=90°
⟹∠DBC=90°−32°=58°
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