Question

The measure of the angles of a triangle are in the extended ratio 17 : 16 : 12. what is the measure of the largest angle?

Answer 1

17x + 16x + 12x =180
45x = 180
x = 4
Largest angle = 17*4 = 68 degrees

Answer 2

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°