Answer :

Let us assume, A = xo and B = yo

A = 3 B = (3y)o


We know that, sum of all sides of the triangle is equal to 180o


A + B + C = 180o


x + y + 3y = 180o


x + 4y = 180o (i)


Also we have, C = 2 ( A + B)


3y = 2 (x + y)


2x – y = 0 (ii)


Now, by multiplying (ii) by 4 we get:


8x – 4y = 0 (iii)


And adding (i) and (iii), we get


9x = 180o



x = 20


Putting the value of x in (i), we get


20 + 4y = 180


4y = 180 – 20


4y = 160



y = 40


B = y = 40o


Hence, option B is correct

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