Question

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?

Answer 1

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.