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

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1.

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

Answer»

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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