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angle AOC+ angle BOD= 266°
we know that,
when two lines intersect each other the vertically opposite angles are equal
AOC= BOD
now,
AOC+BOD=266
2AOC= 266. [ AOC=BOD]
AOC= 133
also, BOD= 133
now, AOB is a straight line
AOC+ COB= 180
133+ COB = 180
COB= 74°
also, AOD = 74° [ vert. opp. angle]
hence, AOC=133°, BOD=133°, COB=74° and AOD= 74°.
we know that,
when two lines intersect each other the vertically opposite angles are equal
AOC= BOD
now,
AOC+BOD=266
2AOC= 266. [ AOC=BOD]
AOC= 133
also, BOD= 133
now, AOB is a straight line
AOC+ COB= 180
133+ COB = 180
COB= 74°
also, AOD = 74° [ vert. opp. angle]
hence, AOC=133°, BOD=133°, COB=74° and AOD= 74°.
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