Question

Op biscets angle BOD. find angle AOD​

Answer 1

Answer:

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Step 1: Given we have three concurrent lines passing through the points 'O' and OF bisect angle BOD

Step 2: <BOF = 35⁰

Step 3: < OF bisect <BOD

<BOF = <FOD = ½ <BOD=350 (given <BOF = 35⁰)

Step 4: We know sum of all angles on a line is 180°

<BOF + <FOD + <AOD = 180°

35 + 35+ <AOD = 180°

<AOD=180-70

<AOD=110

Step 5: <AOD and <BOD are opposite angles as formed by two line AB and CD and we know opposite angles are equal

Step 6: <AOD = <BOC

So <BOC = 110°