Find x if ABCD is a rectangle and diagonal AC&BD intersect at O
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Answer:
The diagonals of a rectangle are equal and bisect each other. So,
OA=OB
⟹∠OBA=∠OAB=62
∘
(angles opposite to equal sides are equal)
Since the measure of each angle of rectangle is 90
∘
⟹∠ABC=90
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⟹∠ABO+∠OBC=90
∘
⟹62
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+∠OBC=90
∘
⟹∠OBC=90
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−62
∘
=28
∘
Step-by-step explanation:
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