Math, asked by neelakshi3568, 11 months ago

In Fig. 6.31, OA . OB = OC . OD. Show that ∠A =∠C and ∠B =∠D.

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Answered by SWATTIKMUKHOPADHYAY
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YOU SHOULD UPLOAD THE FIGURE WITH THE QUESTION....ORELSE IT BECOMES VERY DIFFICULT TO ANSWER
Answered by taranjs123
42

Answer:


Step-by-step explanation:

OA . OB = OC . OD.


Show that ∠A =∠C and ∠B =∠D.




triangles cbse class-10

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answered Jan 29 by Arashk (83.8k points)

OA . OB = OC . OD (Given)


So, OA/OC=OD/OB .... (1)


Also, we have ∠AOD =∠COB (Vertically opposite angles) ...... (2)


Therefore, from (1) and (2), ΔAOD ~ ΔCOB (SAS similarity criterion)


So, ∠A = ∠C and ∠D =∠B


(Corresponding angles of similar triangles)

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