Question

With reference to the diagram, which conclusion can be drawn correctly from the premises? A) AC = CO B) OA + OB + AB > ∠BAC C) m∠ACO < 45° D) m∠BAC = 90°

Answer 1

B) OA + OB +AB> <BAC

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Answer 2

Applying premise I, OA = OB and OA = OC.

Applying premise II, to ΔOAB, m∠OAB = m∠ABO = m∠ABC.

Applying premise III, to ΔOAC, m∠OAC = ∠ACO = m∠ACB.

Now on application of premise III, it follows that:

2 m∠ABC + 2 m∠ACB = 180° ⇒ m∠ABC + m∠ACB = 90°