Question

In the adjoining figure, three coplanar lines AB, CD and EF intersect at a point O. Find the value of x. Hence, find angle AOD, angle COE and angle AOE. ​

Answer 1

I am not confirm,

COE=FOD.......ALTERNATE ANGLES

COB=AOD.......ALTERNATE ANGLES

EOA=BOF........ALTERNATE ANGLES

THEREFORE..

WE LNOW THAT

COE+BOC+BOF = 180°.

.....SUM OF LINEAR ANGLES IS 180°

THEREFORE

5x+2x+3x= 180°

10x= 180°

x=180/10

x=18

therefore, 5x= 5×18 = 90

3x= 3 × 18 = 54

2x = 2× 18 = 36

Hope it helps you, thankyou.