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Question -

ABCD is a cyclic trapezium with AD || BC. If ∠B = 70°, determine other three angles of the trapezium.



Answer -

If in cyclic quadrilateral  , then we have to find the other three angles.
 
Since, AD is parallel to BC, So,
  (Alternate interior angles)
 
Now, since ABCD is cyclic quadrilateral, so
 
And,
 
Hence, ∠A=110°, ∠C=70° and ∠D=110°.

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