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Question

In a triangle, the largest angle is ten times the smallest and the remaining angle is the square of the smallest. The largest angle of the triangle is

A
80o
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B
100o
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C
120o
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D
90o
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Solution

The correct option is D 90o
Let the smallest angle be x
Largest angle = 10 x
Remaining angle =x2
x2+x+10x=180o
orx2+11x180=0
or(x+20)(x9)=0
orx=9 (Since the angle of a triangle cannot be negative)
Largest angle =10x=10×9=90o

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