Question

.Line AB and line CD intersect at point O such that A – O – B and C – O – D . If ∠. AOC = 50° then ∠.BOC = ? *

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Answer 1

Answer: From the figure we know that ∠AOC and∠AOD from a linear pair

It can also be written as

∠AOC+∠AOD=180  

o

 

By substituting the values

50  

o

+∠AOD=180  

o

 

∠AOD=180  

o

−50  

o

 

∠AOD=130  

o

 

According to the figure we know that ∠AOD and ∠BOC are vertically opposite angles  

So we get

∠AOD=∠BOC=180  

o

 

According to the figure we know that ∠AOC and ∠BOD are vertically opposite angles

So we get

∠AOC+∠BOD=50  

o

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