### Instruction: The measures of the angles of a triangle are in the ratio 5:6:7. What is the number of degrees in the largest of these angles?### Response: I know that the sum of the angles of a triangle is 180 degrees, so I can use that to find the value of each angle.
Let me call the angles 5x, 6x, and 7x, where x is a constant.
Then I have 5x + 6x + 7x = 180, which I can simplify to 18x = 180.
Dividing both sides by 18, I get x = 10.
So the angles are 50, 60, and 70 degrees, and the largest one is 70 degrees.