Question

A B C and D are four points such that angle(BAC)=45 and angle(BDC)=45. Then prove that A B C and D are concyclic

Answer 1

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45° hone pr concyclic h hota hai.
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Answer 2

Step-by-step explanation:

In geometry, a set of points are said to be concyclic if they lie on a common circle.

Given  ∠BAC=45  

 and ∠BDC=45  

From the figure, it can be seen that they are lying on the circumference of the circle by same chord BC.

But from the theorem we also know that, the angle subtended by the chord at the circle are equal .

Here angles are equal , which means that these 4 points are concyclic .

∴  A,B,C,D are concyclic.

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