Q. 35.0( 6 Votes )

# Two straight lines *AB* and *CD* intersect one another at the point *O*. If ∠*AOC*+∠*COB*+∠*BOD* = 274°, then ∠*AOD* =

A. 86°

B. 90°

C. 94°

D. 137°

Answer :

Given,

∠AOC + ∠COB + ∠BOD = 274^{o} (i)

∠AOD + ∠AOC + ∠COB + ∠BOD = 360^{o} (Angles at a point)

∠AOD + 274^{o} = 360^{o}

∠AOD = 86^{o}

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