An alternative solution to problem of the day extreme quant (June 28th)


So, the highlighted angle is an exterior angle to the triangle which contains the angles b and 25. The value of the exterior angle is equal to b + 25 as an exterior angle is equal to the sum of interior opposite angles. Therefore, a + b + 25 + 30 = 180, implying a + b = 125.

Option A is the answer. Is this approach right?

Right indeed.