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Question

In the given figure ABCD, AEO=55, CFO=40. The measure of reflex EOF is

A
285
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B
290
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C
265
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Solution

The correct option is C 265
Construct a line XOYAB.
Since XYAB, EOY=AEO=55
(interior opposite angles are equal)
EOY=55
Since XYCD, CFO=FOY=40 (interior opposite angles are equal)
EOF=EOY+FOY
EOF=55+40=95
Now, reflex EOF=36095=265

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