angles of triangle

Geometry Level 2

Of the three angles of a triangles, first is one third of the third angle and second is 26°more than the third. then, which of the following is correct

the shortest angle is 22° both A and B are correct the shortest angle is 22°and the largest angle is 92° the largest angle is 92°

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1 solution

Let the third angle be x.then,the first angle will be x/3 and the second one will be x+26. x+(x/3)+x+26=180. so,x=66. .Hence,the first angle is 66/3=22 and the second angle is 66+26=92. So,the smallest one is 22 and largest one is 92.......

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