State whether the statements are true (T) or (F) false. The interior – InterviewSolution

InterviewSolution

1.

State whether the statements are true (T) or (F) false. The interior angles of a triangle are in the ratio 1:2:3 , then the ratio of its exterior angles is 3:2:1.

Answer»

False

Ratio of interior angles =1:2:3

Let the angles are x,2x,3x

x+2x+3x=180

6x = 180

So,

x = 30

2x = 60

3x = 90

let, exterior angle be a, b, c.

a = 360−30

a = 330

b = 360−60

b = 300

c = 360−90

c = 270

a:b:c = 330:300:270

a:b:c = 11:10:9

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