Math, asked by anaswaramj064, 4 months ago

in the fig , OA.OB=OC.OD . show that angle A =angle C and angle B =angleD ?​

Answers

Answered by mazlinanagoor
4
Hey buddy the ans for ur ques is

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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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