Answer: \(68^{\circ}\)
Step-by-step explanation:
Here, the ratio of the all three angles is 17 : 16 : 12
Let the measurements of the angles are, 17 x, 16 x and 12 x
Where x is any positive number.
Since, the sum of all three angles is 180°
Therefore, \(17 x + 16 x + 12 x = 180^{\circ}\)
⇒ \(45 x = 180\)
⇒ \(x = 4\)
Thus, the measurement of the largest number = 17 x = 17 × 4 = 68°
