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is a parallelogram. The circle through and intersect (produced if necessary) at . Prove that .
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Text solutionVerified
From the figure,
(Linear pair) ....... (i)
Also, is a cyclic quadrilateral.
So, ....... (ii) (opposite angles of cyclic quadrilateral sum upto )
....... (iii) (Opposite angles of a parallellogram are equal)
Using (i), (ii) and (iii),
Now, In ,
(Sides opposite to equal angles)
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Question Text | is a parallelogram. The circle through and intersect (produced if necessary) at . Prove that . |
Answer Type | Text solution:1 |
Upvotes | 150 |