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Here,
angle AOC = angle BOD (i)
By vertically opposite angles
AO/BO = 15/12 = 5/4.....
Also, CO/DO = 10/8 = 5/4.....
So, AO/BO = CO/DO (ii)
From (i) and (ii),
∆AOC is similar to ∆BOD by SAS similarity condition.....
angle AOC = angle BOD (i)
By vertically opposite angles
AO/BO = 15/12 = 5/4.....
Also, CO/DO = 10/8 = 5/4.....
So, AO/BO = CO/DO (ii)
From (i) and (ii),
∆AOC is similar to ∆BOD by SAS similarity condition.....
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