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John drew a triangle such that all the angles, in degrees, were perfect squares. What was the largest angle among them, in degrees?

 Dec 4, 2019
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This is how I did it:

 

All angles add up to 180.

 

To find the largest angle, we guess and check on our way down from 180.

 

169

 

144

 

121

 

100

 

...

 

The other two angles must add up to the supplement of the numbers above and are perfect squares.

 Dec 4, 2019

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