Question

ray oe bisects angle aob and of in a ray is opposite to oe. show that angle fob=angle foa

Answer 1

1) Ray OE bisectsAOB and OF is a ray opposite to OE . Show that FOB = FOA
2)Lines AB , CD and EF intersect at O . find the measures of AOC , COF , DOE and BOF

Answer 2

Step-by-step explanation:

∠FOB + ∠BOE = 180° ...(1)

| Linear Pair Axiom

∠FOA + ∠AOE = 180° ...(2)

| Linear Pair Axiom

From (1) and (2),

∠FOB + ∠BOE = ∠FOA + ∠AOE ...(3)

But ∠BOE = ∠AOE

| ∵ Ray OE bisects ∠AOB

∴ From (3),

⇒ ∠FOB = ∠FOA.