Find the value of P for given figure where o is centre of circle ?
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In the figure given, O is the center of the circle. If ∠BAD=30°, find the values of p,q and r.
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Here,
ABCD is a cyclic quadrilateral
∴∠A+∠C=180
o
⇒30
o
+p=180
o
⇒p=180
o
−30
o
=150
o
Now, Arc BD subtends ∠BOD at the center and ∠BAD at the remaining part of the circle,
∴∠BOD=2∠BAD
⇒q=2×30
o
=60
o
Again, ∠BAD=∠BED[ Angles on the same segment ]
⇒30
o
=r
⇒r=30
o
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