### Instruction: The angle measures of the three angles of a triangle are in the ratio $1:3:6$. What is the number of degrees in the measure of the largest angle?### Response: I know that the sum of the angles in a triangle is 180 degrees, so I can use that to find the value of each angle.
Let me call the angles $x, 3x,$ and $6x$, since they are in the ratio $1:3:6$.
Then I have $x + 3x + 6x = 180$, which simplifies to $10x = 180$.
Dividing both sides by 10, I get $x = 18$.