Four sides mAB^(−) , mBC^(−) , mCD^(−) and mDA^(−) of a quadrilateral ABCD have measurement a , b , c and d units respectively. Let the sum of any adjacent sides is not equal to the sum of remaining adjacent sides and measurement of all the sides is positive and real. What could be the possible minimum and maximum values of its one angle m∠A ?


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Question Number 1378 by Rasheed Soomro last updated on 28/Jul/15

$F o u r s i d e s m \overset{―}{AB}, m \overset{―}{BC}, m \overset{―}{CD} a n d m \overset{―}{DA} o f a quadrilateral$ $ABCD h a v e m e a s u r e m e n t a, b, c a n d d u n i t s r e s p e c t i v e l y .$ $L e t t h e s u m o f a n y a d j a c e n t s i d e s i s n o t e q u a l t o t h e s u m o f$ $r e m a i n i n g a d j a c e n t s i d e s a n d m e a s u r e m e n t o f a l l t h e s i d e s$ $i s p o s i t i v e a n d r e a l .$ $W h a t c o u l d b e t h e p o s s i b l e m i n i m u m a n d m a x i m u m v a l u e s$ $o f i t s o n e a n g l e m ∠ A ?$
Commented by 123456 last updated on 26/Jul/15

$m ∠ A + m ∠ B + m ∠ C + m ∠ D = 360 °$
Commented by prakash jain last updated on 27/Jul/15

$m \in N and are the sides integers ?$
Commented by prakash jain last updated on 28/Jul/15

$All values will be possible except 0, π, 2 π .$
Commented by Rasheed Soomro last updated on 28/Jul/15

$S i r y o u a r e v e r y r i g h t . W h a t a m e a n i n g l e s s q u e s t i o n h a v e$ $I a s k e d! I a m v e r y v e r y s o r r y . T h i s w e r e n o t w h a t I s h o u l d$ $h a v e a s k e d!$
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