Two straight lines AB and CD intersect one another at the point
COB + BOD = 274, then find AOD.
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Answer:
COB+BOD=274
AOD=?
AOD=274÷2
AOD=136
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AB and CD intersect at O and CD is a straight line.
(i) ∠COA+ ∠AOD = 180° (linear pair)
42°+ ∠AOD = 180°
∠AOD = 138°_____answer
(ii) ∠COA and ∠BOD are vertically opposite angles.
∴∠COA = ∠BOD = 42° [from (i)]
(iii) ∠COB and ∠AOD are vertically opposite angles.
∴∠COB = ∠AOD = 138° [from (i)]
(i) ∠COA+ ∠AOD = 180° (linear pair)
42°+ ∠AOD = 180°
∠AOD = 138°_____answer
(ii) ∠COA and ∠BOD are vertically opposite angles.
∴∠COA = ∠BOD = 42° [from (i)]
(iii) ∠COB and ∠AOD are vertically opposite angles.
∴∠COB = ∠AOD = 138° [from (i)]
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