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The angles in a right triangle form an arithmetic progression.  If the smallest angle is 13 degrees, then what is the largest angle? 

The total of the internal angles of every triangle is 180^o   

The right angle in the right triangle takes up 90^o of those 180^o   

Thus, the largest angle in a right triangle always has to be the right angle, i.e. 90^o  

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The angles in a right triangle form an arithmetic progression.  If the smallest angle is 13 degrees, then what is the largest angle?

I think that nither arithmetic nor geometric progression can be applied to the angles of the right triangle.

 arithmetic progression       13º         51.5º       90º       wrong!

 geometric progression        13º            34.205275º            90º    

The angles in a right triangle form an arithmetic progression.  If the smallest angle is 13 degrees, then what is the largest angle? 

1.  IF you'd said the smallest angle is 30^o instead of 13^o  

     then we could have an arithmetic progression. 

     30^o - 60^o - 90^o  the largest angle still is the 90^o angle. 

     In a right triangle, the 90^o angle is always the largest   

     angle because neither of the other angles can be 90^o  

2.  IF you'd said simply triangle, instead of right triangle, 

     then the arithmetic progression is 13^o - 60^o - 107^o  

     Did you really mean to ask one of the two cases above?  

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