# The angles of a triangle are in the ratio of 1:2:3. Find the measure of each angle of the

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Let the angles be 1x,2x and 3x

sum of angles in a triangle = 180

1x+2x+3x = 180

6x = 180

x = 30

the angles are 30,60,90 degrees respectively.

sum of angles in a triangle = 180

1x+2x+3x = 180

6x = 180

x = 30

the angles are 30,60,90 degrees respectively.

Sum of angles of triangle=180 degrees

According to Problem

x+2x+3x=180

=>6x=180=>x=180/6=30

therefore,

1st angle=30 degree

2nd angle=2*30=60 degree

3rd angle=3*30=90 degree

To verify=(30+60+90)degree=180 degree[VERIFIED]

sum of angles in a triangle = 180

1x+2x+3x = 180

6x = 180

x = 30