The measures of two supplementary angles have a ratio of 2:4. What is the measure of the smaller angle?

The word supplementary means equal to 180 degrees. The ratio is 2:4, meaning that you have to set up the equation 2x+4x=180. Next, combine like terms which should get you 6x=180. After that, divide 6 on both sides of the equation which should leave you with x=30. The smaller angle is 2x, so substitute 30 making the smaller angle 2 (30) which equals 60. 60 is the measure of the smaller angle.