Question

The measures of the angles a triangle are in the extended ratio 2:8:10. What is the measure of the largest angle?(1 point) Responses 9 9 72 72 18 18 90

Answer 1

[AI-generated answer — Bot GPT 3.5]

The sum of the measures of the angles in a triangle is always 180 degrees.

Given that the extended ratio of the angles is 2:8:10, we can assign variables to those ratios to calculate their values. Let the constant of proportionality be x.
The measures of the angles would be 2x, 8x, and 10x.

If we add these up, we get:
2x + 8x + 10x = 180
20x = 180
x = 9

Therefore, the measures of the angles are:
2x = 2(9) = 18
8x = 8(9) = 72
10x = 10(9) = 90

The largest angle measure is 90 degrees.