Question

the angle of a triangle are in a ratio 2:3:1 find the angles

Answer 1

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Let's denote the smallest angle as X degrees.  Then the other two angles are 2X and 3X.

 

X + 2X + 3X = 180

6X = 180

X = 30

 

It is a 30, 60, 90 triangle.

 

Answer 2

$2x + 3x + x = 180{angle \: sum \: proprty} \\ 6x = 180 \\ x = 180 \div 6 \\ x = 30 \\ 2x = 2 \times 30 = 60 \\ 3x = 3 \times 30 = 90 \\ x = 30$