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In the given figure, $\Delta OSR \sim \Delta OQP$, $\angle ROQ = 125^{\circ}$ and $\angle ORS = 70^{\circ}$. Find the measures of $\angle OSR$ and $\angle OQP$.
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$\angle OSR = 125^{\circ} - 70^{\circ} = 55^{\circ}$ [ by exterior angle property]
As $\Delta OSR \sim \Delta OQP$
$\angle OSR = \angle OQP$ (Corresponding angles of similar triangles)
$\angle OQP = 55^{\circ}$
As $\Delta OSR \sim \Delta OQP$
$\angle OSR = \angle OQP$ (Corresponding angles of similar triangles)
$\angle OQP = 55^{\circ}$