in the figure line ab and CD intersect at if angle a + angle b is equal to 70 degree and angle b is equals to 40 degree find angle b and angle c o e
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Maths
Lines and Angles
Pair of Angles
In figure, lines AB and CD ...
MATHS
In figure, lines AB and CD intersect at O. If ∠AOC+∠BOE=70
o
and ∠BOD=40
o
, find ∠BOE and reflex ∠COE.
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ANSWER
From given figure
∠AOC=∠BOD [Vertically opposite angles]
⇒∠AOC=40
o
[∵∠BOD=40
o
is given]
Now, ∠AOC+∠BOE=70
o
[Given]
⇒40
o
+∠BOE=70
o
⇒∠BOE=30
o
∠AOE+∠BOE=180
o
[Linear pair of angles]
⇒∠AOE+30
o
=180
o
⇒∠AOE=150
o
⇒∠AOC+∠COE=150
o
⇒40
o
+∠COE=150
o
⇒∠COE=110
o
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