Q. 34.4( 35 Votes )

In the given figu

Answer :

Given that,


The lines and intersect at O.


AOC + BOE = 70° ----(1)


BOD = 40° ----(2)


If the two lines intersect at a point then its vertically opposite angles are equal.


AOC = BOD


Substitute (2) in (1)


40° + BOE = 70°


⇒∠BOE = 70°-40°


∴∠BOE = 30°


From the figure,AOB is a straight line and its angle is 180°


So, AOC + BOE + COE = 180°


From equation (1)


70° + COE = 180°


⇒∠COE = 180°-70°


∴∠COE = 110°


Reflex COE = 360° - 110° = 250°


∴∠BOE = 30° and Reflex COE = 250°


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