Math, asked by ashish4890, 1 year ago

in the given figure,if AOC+BOD=266degree,find all
the four angles​

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Answers

Answered by AbhijithPrakash
5

Answer:

\underline{\huge{\angle AOC = 133^\circ, \angle DOC = 133^\circ, \angle COB = 47^\circ, \angle AOD = 47^\circ}}

Step-by-step explanation:

\angle AOC + \angle BOD = 266 ^\circ \\\text{We also know that, Vertically Opposite angles are always equal.}\\\text{That means:}\\\angle AOC = \angle BOD\\\therefore \angle AOC + \angle BOD = 2 \angle AOC = 266^\circ\\ \implies \angle AOC = \frac{266}{2} = \bold{133^\circ} \\\angle AOC =\angle BOD = \underline{133^\circ}\\\text{Now,}\\\text{We know that the sum of Supplimentary angles is} \:180^\circ\\\therefore \angle AOC + \angle COB = 180^\circ \\\implies 133^\circ + \angle COB = 180^\circ

\implies \angle COB = 180^\circ - 133^\circ = \bold{47^\circ}\\\angle COB = \angle AOD = \underline{47^\circ}


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