The angles of a triangle are (8x − 15)°, (6x − 11)° and (4x − 10)°. What is the value of x ?

12

Concept Used

The sum of three angles of a triangle = \({180}^\circ\).

Calculation

(8x - 15) + (6x - 11) + (4x - 10) = 180

8x - 15 + 6x - 11 + 4x - 10 = 180

18x - 36 = 180

18x  = 180 + 36 = 216

x = \(\frac{216}{18}\) = 12

Therefore, the value of x is \({12}^\circ\).