The measures of the angles of a triangle are in the extended ratio . 17: 16: 12. What is the measure of the largest angle?
A. 34
B. 68
The sum of the measures of the angles of a triangle is always 180 degrees. Let the measures of the angles be 17x, 16x, and 12x. From the given ratios, we can set up the equation:
17x + 16x + 12x = 180
45x = 180
x = 4
Therefore, the measures of the angles are 17(4) = 68 degrees, 16(4) = 64 degrees, and 12(4) = 48 degrees. The largest angle is 68 degrees.
Therefore, the answer is B. 68.