In Fig.10.15, AOB is a diameter of the circle and C, D, E are any three points on the semi-circle. Find the value of ACD +
BED.
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270°
Solution:
Join AE
ACDE is a cyclic quadrilateral and sum of opposite angles in a cyclic quadrilateral is 180°
Now, we know that the angle in a semi-circle is 90°
So,
AEB = 90° … (ii)
An adding equation (i) & (ii), we get.
Hence the value of
ACD + 
BED is 270°