Q. 65.0( 1 Vote )

# Two circle drawn

COD = 560

COE = 400

DAC and DOC are supplementary to each other since AD and AC are perpendicular to OD and OC respectively

DAC = (1800-560) = 1240

Since DA = AC so Δ DAC is isosceles

ACD = 280

COE and CBE are supplementary to each other since BC and BE are perpendicular to OC and OE respectively

CBE = (1800-400) = 1400

Since BC = BE so Δ CBE is isosceles

BCE = 200

y-x = ACD- BCE = 80

CDO = OCD = 620 ( ADO and ACO is equal to 900)

Hence OD = OC

OEC = OCE = 700( OCB and OEB is equal to 900)

Hence OE = OC

So combining the above two we can say

OD = OC = OE

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