Q.

If the largest angle in a triangle is 70°, what is the least possible value of the smallest angle of the triangle?

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a

10°

b

30°

c

 50°

d

40°

answer is D.

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Detailed Solution

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When the other two angles are as large as possible, the smallest angle will have the lowest value.

The other two angles can have a maximum value of 70 degree each.

So, Smallest Angle = 180o - 70o x 2 = 40o

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If the largest angle in a triangle is 70°, what is the least possible value of the smallest angle of the triangle?