Question

Find the angles of a triangle which are in the ratio 5:3:1.​

Answer 1

Answer:

100,60 and 20

Step-by-step explanation:

Let constant of proportionality be x.

hence angle A=5x

angleB=3x

angleC=1x=x

By angle sum property of a triangle,sum of all angles is 180 degree

Hence angleA+AngleB+AngleC=180

A+B+C=180

5x+3x+x=180

9x=180

x=180/9= 20

hence x is 20.

Now,A=5x=5×20=100

B=3x=3×20=60

C=1×20=20

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Answer 2

5x+3x+1x =180

3x+9=180

3x=180-9

x=171/3

therefore x= 57

5x=57x5 = 305

3x=57x3 = 172

1x=57x1 =57