Assertion (A): In △ABC, D is a point on side BC. AB + BC + AC > 2AD

Reason (R): Sum of two sides of a triangle is greater than the third side.

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false

In the given figure, the bisectors of ∠B and ∠C intersect each other at O and ∠BAC = 50°. The measure of ∠BOC is :

1. 100°

2. 115°

3. 130°

4. 140°

ABC is a triangle in which AC = BC and ∠BAC = 50°. Side BC is produced to D such that BC = CD. ∠BAD is equal to :

1. 45°

2. 50°

3. 90°

4. 100°

ABD is a triangle such that ∠ADB = 20° and C is a point on BD such that AB = AC and CD = CA. The measure of ∠ABC :

1. 40°

2. 50°

3. 55°

4. 60°