Answers

2014-10-13T21:00:22+05:30
Here,
^ABC+∨PBC=180° (Property of a Line)
&
∧QCB+∨ACB=180°
On subtracting above equations,
∧ABC-∨ACB=∧QCB-∨PBC
We Know that ∧ABC>∨ACB⇒∧ABC-∨ACB>0
⇒∧QCB-∨PBC>0⇒∧QCB>∨PBC which is same as ∨PBC<∧QCB.


here another thing which proves that PBC is smaller is that QCB is Obtuse and PBC is acute.Diagram makes it clear too.However proof is required as it is asked.
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