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Linear Pair

In the given ...

Question

In the given figure, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex ∠COE.

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Solution

In the figure, ,and form a linear pair.

Thus,

It is given that, on substituting this value, we get:

Thus, reflex

Therefore, reflex

Sinceand are vertically opposite angles, thus, these two must be equal.

Therefore,

But, it is given that :

Substituting in above equation:

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Similar questions

In the figure, lines $A B$ and $C D$ intersect at $O$ . If $∠ A O C + ∠ B O E = 70^{\circ}$ and $∠ B O D = 40^{\circ}$ , find $∠ B O E$ and reflex $∠ C O E$ .

Q. In the figure, lines

A B

C D

O

∠ A O C + ∠ B O E = 70

∠ B O D = 40

∠ B O E

∠ C O E

.

Q. In figure, lines AB and CD intersect at O. If

∠ A O C + ∠ B O E = 70^{o}

∠ B O D = 40^{o}

∠ B O E

∠ C O E

.

Q. Question 1
In the given figure, lines AB and CD intersect at O. if

∠ A O C + ∠ B O E = 70 a n d ∠ B O D = 40^{\circ}, f i n d ∠ B O E

∠ C O E .

Q. Question 1
In the given figure, lines AB and CD intersect at O. if

∠ A O C + ∠ B O E = 70 a n d ∠ B O D = 40^{\circ}, f i n d ∠ B O E

∠ C O E .

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