Question

Name the largest and smallest angle in triangle are in the ratio of 3:1 respectively. The second largest angle of the triangle is equal to 56

Answer 1

Ratio of largest and smallest angle= 3:1

Let the largest angle be 3x and smallest angle be x

By angle sum property of a triangle,

3x + x + 56 = 180

4x + 56 = 180

4x = 180 - 56

4x = 124

x = 124/4

x = 31

So, largest angle 3x = 3×31 = 93

and smallest angle = x = 31

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