Q13 of 45 Page 164

Let be a ray and let and be two rays on the same side of , with between and . Let be the bisector of ∠AOB. Prove that

∠XOA + ∠XOB = 2∠XOC

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⇒ ∠XOA + ∠XOB


⇒ ∠XOA (∠XOA + ∠AOB)


⇒ 2∠XOA + 2∠AOC


⇒ 2(∠XOA + ∠AOC)


⇒ 2∠XOC


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