Question

The angels of a triangle are in the ratio 2 : 3 : 4 . Find the measure of the angles.​

Answer 1

THE ANSWER IS GIVEN IN THE ABOVE ATTACHMENT

Answer 2

✰︎✪︎ AnswEr ✪︎✰︎

The three angles are 40° , 60° & 80° ...

✞︎ Given :-

• The angles of a triangle are in the ratio 2:3:4

❦︎ To find :-

• The measure of each angles....

✯︎ Solution :-

☯️ Let the angles be 2x , 3x and 4x...

We know that ,

➪︎ Sum of angles in a triangle = 180°

Substituting , we get

➪︎ $2x + 3x + 4x = 180$

➪︎ $9x = 180$

➪︎ $x = \frac{180}{9}$

☸️ Therefore x = 20°

♡︎ Then the three angles are

• 2x = 2 × 20° = 40°
• 3x = 3 × 20° = 60°
• 4x = 4 × 20° = 80°

❁︎ Verification :-

✫︎ Sum of angles = 180°

➪︎ 40° + 60° + 80° = 180°

➪︎ 100° + 80°= 180°

➪︎ 180° = 180°

✯︎ Hence verified...✔️