# In a triangle ABC if A – B = π/2, then C + 2 B is equal to :

(a) 2 π/3

(b) 3 π/4

(c) π

(d) π/2

**Answer: (d) π/2
**

**Solution:-**

A – B = π/2

A = π/2 + B

As we know that A + B + C = 180 (π)

Then, A + B + C = π

Put the value of A = π/2 + B,

So, π/2 + B + B + C = π

2 B + C = π – π/2

2 B + C = π/2

Hence, the correct answer is option (d) π/2.