Question
Sun April 15, 2012 By: Deepali Garg

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Expert Reply
Mon April 16, 2012
The sum of three given angles
= 46° 30' 10'' +75° 44' 45''+123° 9' 35''
= 245° 24' 30'' (since 90'' =1'30'' and 84' =1°24')
 
We know, sum of all four angles of quadrilateral = 360°.

Fourth angle = 360° -(245° 24' 30'') = 114° 35' 30''
(since 360° = 359° 59' 60'')

 In radians the fourth angle is :
114° 35' 30'' = 114° +(35 + 30/60)'
= 114°(71/2)' = 114° +(71/120)°
= (13751/120)°
= (13751/120) x (/180) radians (As 180° = radians)
 = (13751/120) x (1/180) x (22/7) = 2 radians (nearly)
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