The angle in a triangle are in a ratio of 3: 4: 8. what is the measurement of the largest angle ?

96 degrees.

Explanation:

All angles in a triangle add to 180 degrees.

We are given a ratio of 3:4:8 for the angles to fulfill. This essentially means that each angle must be proportional to the other two - the third angle is double the measure of the second, and the first angle is three-quarters the size of the second.

We can find the angle measures for each by adding the values in the ratio and dividing 180 by the sum:

3 + 4 + 8 = 15

180 / 15 = 12

The value of 12 is also the value of '1' in the ratio. However, we are given values of 3, 4, and 8 in the ratio, so we must multiply 12 by these values:

12 * 3 = 36

12 * 4 = 48

12 * 8 = 96

36 + 48 + 96 = 180

This triangle fulfills the ratio, and all three angles add to 180, so these angles are correct. The largest one is 96 degrees, so that is the answer.