The sum of all two angle of a triangle is 160 and their difference is 24 . find all the angle of a triangle
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Let the side be X,y,z Now, X+y = 160 (1) Also, X-y = 24 X = y + 24 (2) Subsituening (1) and (2) X+y = 160 Y+24 + y = 160 2y + 24 = 160 2y = 160-24 Y= 136/2 Y= 68 X= y+ 24= 58+24= 82 Z= 180- (68+82) = 180-150 = 30 Thus the angles are 82,68,30 respectively
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