Question 4

An acute angled triangle PQR is inscribed in a circle. Given $$\angle P = 60^\circ$$ and $$\angle R > \angle Q$$. Let H and I be the orthocentre and incentre of $$\triangle PQR$$ respectively. Find the ratio of $$\angle PHI$$ to $$\angle PQR$$.


Correct Answer: 1.5

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