-
If the three angles of a triangle are : (x + 15°), [ (6x / 5) + 6° ] and [ (2x / 3) + 30° ] , then the triangle is:
-
- isosceles
- right angled
- equilateral
- scalene
- isosceles
Correct Option: C
As we know that, Sum of all angles of a triangle = 180°
| ∴ x + 15° + | + 6° + | + 30° = 180° | ||
| 5 | 3 |
| ⇒ x + | + | + 51° = 180° | ||
| 5 | 3 |
| ⇒ | = 180° - 51° = 129° | |
| 15 |
⇒ 43x = 129 × 15
| ⇒ x = | = 45° | |
| 43 |
∴ The angles of triangle are :
x + 15° = 45° + 15° = 60°
| + 6° = | + 6° = 60° and | + 30° = | + 30° = 60° | ||||
| 5 | 5 | 3 | 3 |
It is an equilateral triangle.
