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Question

In the given figure, if ABC=35o, then the value of ACB is equal to:
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A
55o
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B
50o
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C
45o
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D
54o
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Solution

The correct option is A 55o
In given figure ABCD is a rectangle and BC passes through center of circle O
Then BOC is the diameter of circle
We know Diameter BOC put an angle at any point of semicircle is right angle
Then BAC=90o
ABC=35o(GIven)
In ΔABC
BAC+ABC+ACB=1800
90+35+ACB=180
ACB=1809035=55
Then ACB=550

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