State whether the pairs of triangles are similar or not. In case of similarity, mention the criterion.

State whether the pair of triangles are similar or not. In case of similarity, mention the criterion.

In the given figure, if $∆ADB~∆ADC$, then find the value of $p$.

Find the value of unknown variables, if $∆ABC$ and $∆PQR$ are similar.

In the given figure, $∆OAB~∆OCD$. If $AB=8 \mathrm{cm}; BO=6.4 \mathrm{cm}; OC=3.5 \mathrm{cm} \& CD=5 \mathrm{cm}$, then find the values of $OA \& DO$.

In the given figures, find $\angle MLN$.

In the given figure, two line segments $AC$ and $BD$ intersect each other at the point $P$ such that $PA=6 \mathrm{cm}, PB=3 \mathrm{cm}, PC=2.5 \mathrm{cm}, PD=5 \mathrm{cm}, \angle APB=50°$ and $\angle CDP=30°$ . Then find $\angle PBA$ .

In the given figure, $\angle ABC=90°$ and $BD\perp AC$. If $AB=5.7 \mathrm{cm}, BD=3.8 \mathrm{cm}$ and $CD=5.4 \mathrm{cm}$, find the value of $BC$.