Question

if the largest angle in a triangle is 80 ,then the least possible integral value of smallest angle of the triangle is

Answer 1

40 degree is the right answer

Answer 2

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Largest angle = 80° ............(1)

The sum of the 3 angles is 180°.

Then, the sum of the other two angles is 100°.

By (1), we get that the Other angles cannot be more than 80° respectively.

So, the possibilities are -

1. 80° & 20°

2. 79° & 21°

3. 78°& 22°

And so on.....

Here, the smallest angle is 20°.

Thus, the least possible value of the smallest angle is 20°.

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Hope I explained well.. :)