Final answer:
The measure of the smallest angle is 27 degrees.
Step-by-step explanation:
The sum of the angles in a triangle is always 180 degrees. Let's denote the angles as 3x, 10x, and 7x. To find the measure of the smallest angle, we need to find the value of x. Since the angles are in a ratio of 3:10:7, we can set up the equation 3x + 10x + 7x = 180. Solving for x, we get x = 180/20 = 9.
To find the smallest angle, we substitute x back into the ratio: smallest angle = 3x = 3(9) = 27 degrees.
Learn more about Angles in a triangle