AB, CD and EF are three concurrent lines passing through the point O such that OF bisects BOD. If BOF = 35. Find BOC and AOD.
Question:
AB, CD and EF are three concurrent lines passing through the point O such that OF bisects BOD. If BOF = 35. Find BOC and AOD.
Solution:
Given
OF bisects BOD
BOF = 35
Angles BOC and AOD are unknown
BOD = 2 BOF = 70 [since BOD is bisected]
BOD = AOC = 70 [BOD and AOC are vertically opposite angles]
Now,
BOC + AOC = 180
BOC +70 = 180
BOC =110
AOD = BOC = 110 (Vertically opposite angles]
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