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In triangle ABC, angle A= angle B/2= angle C/6, then the measure of angle A is ..................

$L e t A = \frac{B}{2} = \frac{C}{6} = x S o, A = x, B = 2 x, a n d C = 6 x S i n c e, t h e s u m o f a n g l e s o f a t r i a n g l e a r e 180^{0} T h e r e f o r e, A + B + C = 180^{0} \Rightarrow x + 2 x + 6 x = 180^{0} \Rightarrow 9 x = 180^{0} \Rightarrow x = 20^{0} H e n c e, m e a s u r e o f a n g l e A = x = 20^{0}$

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