Prove by complete steps
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AC / AB = PR / PQ
The ratios are equal means both are similar triangles.
angle ACB = angle PRQ= 90 degree (given)
By SAS similarity critarian rule both are similar.
Therefore, angles opposite to similar lengths of sides are equal.
So that angle A = angle P
and angle B = angle Q
Hence proved.
2. As given cos B = cos Q
BC / AB = QR / PQ
The ratios are equal means both are similar triangles.
angle ACB = angle PRQ= 90 degree (given)
By SAS similarity critarian rule both are similar.
Therefore, angles opposite to similar lengths of sides are equal.
So that angle A = angle P
and angle B = angle Q
Hence proved.