Question

one of the exterior angles of a triangle is 120o and the interior opposite angles ot it are in the ratio 4:2. find the angles of the triangle​

Answer 1

Answer:

The angles are 80°, 40° , 60°

Step-by-step explanation:

Firstly , Interior angle + Exterior angle = 180°

( Angles in linear pair theorem)

Interior angle + 120° = 180°

Interior angle = 180° - 120°

therefore interior angle = 60°

Now , let the common multiple of angles in ratio be x

so , 4x + 2x + 60° = 180° (sum of measures of all angles in a triangle is 180°)

6x = 180° - 60°

6x = 120°

x = 20°

therefore now ,

4x = 4× 20 = 80°

2x = 2× 20 = 40°

For cross check , add all angles of triangle and see if their sum is 180° .