24. Exemplar exercise problems I

1. If in two triangles \(ABC\) and \(PQR\), \(\frac{AB}{QR} = \frac{BC}{PR} = \frac{CA}{PQ}\), then

 

2. In given figure, two line segments \(AC\) and \(BD\) intersect each other at the point \(P\) such that \(PA = 6 \ cm\), \(PB = 3 \ cm\), \(PC = 2.5 \ cm\), \(PD = 5 \ cm\), \(\angle APB = 50^\circ\) and \(\angle CDP = 30^\circ\). Then, \(\angle PBA\) is equal to