400
A
In
of the
the given figusee if AB is the diameter
find the value of a.
circle
Answers
Answered by
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Step-by-step explanation:
Correct option is
A
270
o
Join AE.
ACDE is a cyclic quadrilateral since all four points lies on circle.
⇒ ∠ACD+∠AED=180
o
[ Sum of opposite angles of a cyclic quadrilateral is supplementary ]
AB is a diameter of a circle.
⇒ ∠AEB=90
o
[ Angle in a semi-circle ] ------ ( 2 )
Adding ( 1 ) and ( 2 ) we get,
⇒ ∠ACD+∠AED+∠AEB=180
o
+90
o
⇒ ∠ACD+∠BED=270
o
.
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