If the exterior angle of a triangle is 120 degree and its interior opposite angles are (15x+5) and (22x+4), Find the value of x

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18-05-2018
Mathematics

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If the exterior angle of a triangle is 120 degree and its interior opposite angles are (15x+5) and (22x+4), Find the value of x

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sqdancefan sqdancefan · Answer 1 · 2018-05-18T22:26:18+02:00

sqdancefan sqdancefan

18-05-2018

The exterior angle is equal to the sum of opposite interior angles, so ...
(15x+5) + (22x+4) = 120
37x +9 = 120
x = (120 -9)/37 = 3

The value of x is 3.

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