Q. 113.5( 11 Votes )
Two lines AB and CD intersect at a point O such that 
+ 
=280°, as shown in the figure. Find all the four angles.
Answer :
=140°,
=40°, 
= 140°, ∠BOD = 40°
Given lines AB and Cd intersect at a point O and 
+ 
=280°
= 
(Opposite angle)
⇒
+ 
= 280°
⇒
+ 
= 280°
⇒ 2
= 280°
⇒
= 140°
= 
= 140°
Now,
+ 
= 180° (Because AOB is a straight line)
⇒
+ 140° = 180°
⇒
= 40°
= ∠BOD = 40°
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