One angle of a triangle measures 140°. The other two angles are in a ratio of 7:13. What are the measures of those two angles?

The unknown angles are in a ratio of 7 to 13.

Let 7x represent the smaller measure. Then, 13x represents the larger measure.

7x + 13x + 140 = 180

20x + 140 = 180

20x = 40

x = 2

7x = 7 * 2 = 14

13x = 13 * 2 = 26

The measures are 14 degree and 26 degrees.