The angles of a triangle are (8x − 15)°, (6x − 11)° and (4x − 10)°. What is the value of x ?
Answer & explanation
Correct answer: option 1
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 \({12}^\circ\).