Question

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

Answer 1

Answer:

x = 18 degrees

<AOD = 2x = 36 degrees

<COE = 5x = 90 degrees

<AOE = 3x = 54 degrees

Step-by-step explanation:

using the concept of vertically opposite angles,

<AOD = <COB

therefore, as EF is a straight line, we get

5x+2x+3x=180

10x=180

x=18 degrees.

<AOD = 2x = 36 degrees

<COE = 5x = 90 degrees

<AOE = 3x = 54 degrees

Hope this helps!