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Q.

 If the largest angle in a scalene triangle is 75°, then the least possible integral value of the smallest angle of the triangle is :

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a

1o

b

31o

c

0o

d

30o

answer is D.

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Detailed Solution

According to the problem :

Hence 180° is the sum of angles in the triangle.

Given that :

The triangle is a scalene triangle, that means all the angles will have different measures.

The largest angle in a triangle is 75°

Therefore,

The second largest angle is

75−1=74° (Given that it has to integral value)

Therefore the smallest angle would be 

=180°−75°−74°

=31°

Hence the smallest possible angle is 31°

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