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.

because they could drop even lower..