ab is a chord of a circle whose Centre is O if P is any point on the minor Arc a b prove that angle A O B plus to angle APB is equals to 360 degrees
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AOB = 360 - Reflex AOB ( Complete angle ) ................(i)
2APB = Reflex AOB ( Since, angle at the centre is double the angle at the circumference) ...........(ii)
From (i) and (ii), we get,
AOB = 360 - 2 APB
=> AOB + 2APB = 360
HENCE PROVED...
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