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)`

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°