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Q4360°Prove that bisectors of alternate interior anglesformed by two parallel lines enclose arectangle.05Ray OP bisects ZAOB. If Ray opisopposite to ray OP. Prove that OQ bisectsreflex ZAOB |
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Answer» ∠FOB + ∠BOE = 180° ...(1)| Linear Pair Axiom ∠FOA + ∠AOE = 180° ...(2)| Linear Pair AxiomFrom (1) and (2),∠FOB + ∠BOE = ∠FOA + ∠AOE ...(3)But ∠BOE = ∠AOE| ∵ Ray OE bisects ∠AOB∴ From (3),⇒ ∠FOB = ∠FOA. |
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