Given :
- The measures of the angles of triangle ABC are in the ratio 2:4:9.
To Find :
- The measures of the angles.
Solution :
- Let the angles of the triangle be 2x, 4x and 9x
We know that the sum of the angles of the triangle is 180°
So,
⠀⠀2x + 4x + 9x = 180°
➺ 15x ⠀⠀⠀⠀⠀⠀= 180°
➺ x ⠀⠀⠀⠀⠀⠀⠀= 180°/15
➺ x ⠀⠀⠀⠀⠀⠀⠀= 12°
⠀
So, The measure of the three angles are :
- 2x = 2 × 12° = 24°
- 4x = 4 × 12° = 48°
- 9x = 9 × 12° = 108°
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