Question

In the given figure, ray OE bisects AOB and OF is a ray opposite to OE. Show that

FOB = FOA

Answer 1

1) In the given figure, ray OE bisects AOB and OF is a ray opposite to OE. Show that

FOB = FOA A

F O E

B

Here, it is given OE bisects angle AOB

Hence, angle AOE = angle BOE …….(1)

so we know angle FOA = 180 – angle AOE ……..(Linear pair)

Similarly, angle FOB = 180 – angle BOE

Form equation (1)

We get 180 – angle AOE = 180 – angle AOE

So, angle FOA = angle FOB