Question

The angles of a triangle are in ratio 1 : 2 : 3. Find the measures of all the angles of triangle.

Answer 1

Given :

Angles of a triangle are in a ratio 1:2:3

To find :

The measures of all the angles of triangle.

Step-by-step explanation:

• The measures of the angle can be found by following these steps.
• Let the ratios be x.
• Then, the angles of the triangle will be

       $1x,2x,3x$

• The sum of all the angles of a triangle is 180°.
• In this case,

      $1x+2x+3x=180$°

• By adding the values we get,

       $6x=180$°

• Taking the number to the other side of the equation,

       $x=30$°

• By substituting the value of x in the given ratio

       $1(30),2(30),3(30)$

• By taking the product of these terms the angle of the triangle would be

       30° , 60° , 90°

Final answer :

The angles of the triangle is  30° , 60° , 90°