In the triangle ABC, BD bisects angle B and is perpendicular to AC. If the lengths of the sides of the triangle are expressed in terms of x and y as shown, find the values of x and y.

In triangle ABC; AB = AC and ∠A : ∠B = 8 : 5; find angle A.

In the given figure, AB ⊥ BE, EF ⊥ BE, AB = EF and BC = DE, then :

1. △ ABD ≅ △ EFC

2. △ ABD ≅ △ FEC

3. △ ABD ≅ △ ECF

4. △ ABD ≅ △ CEF

From the adjoining figure, we find :

1. OP = OR

2. OP = OQ

3. PQ = PR

4. PR ≠ PQ