In the adjoining figure, AB = AC, BD = CD, ∠BAD = 32°, ∠BDC = 56°, ∠CAD = 2x° and ∠BDA = (x + y)°. The values of x and y will be :

1. x = 10, y = 16

2. x = 16, y = 12

3. x = 18, y = 8

4. x = 12, y = 16

In the figure, AB = AC and DB = DC. ∠ABD : ∠ACD is :

1. 1 : 2

2. 2 : 1

3. 1 : 1

4. 1 : 3

ABC is a right angled triangle whose hypotenuse is AC. If AB : BC = 3 : 4, then the smallest angle of the triangle is :

1. ∠A

2. ∠B

3. ∠C

4. None of these

If a, b, c be the lengths of the sides of a triangle, then :

1. a = b + c

2. a < b + c

3. a > b + c

4. a < b - c