The measures of the interior angles of a particular triangle are in a 5:6:7 ratio. What is the measure, in degrees, of the smallest interior angle?
I know that the sum of the interior angles of any triangle is 180 degrees. So, if I let x be the common factor of the angles, then 5x + 6x + 7x = 180. Simplifying, I get 18x = 180, so x = 10. Therefore, the smallest interior angle is 5x = 5(10) = 50 degrees. 