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- Just to use the Power of point theorem and easy trigonometric approach.
- Prove that, $\triangle NPQ \sim \triangle NOM$.
বৃত্ত-ত্রিভুজ সংঘর্ষ
A circle passing through the points $M, O$ of $\triangle MNO$ intersects the sides $MN, NO$ at points $P, Q$ respectively. Let $\frac {NP}{OQ}=\frac {3}{2}$, $NQ=4, MP=5$ and $MO=2 \sqrt 7$. Determine $\angle NPO$.
Geometry
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