Two angles form a linear pair. The measure of one angle is 2.6 times the measure of the other angle. Find the measure of each angle.

The ratio of angles is 1 : 2.6 or 5 : 13.

The sum of the angles of a linear pair is 180°. The above ratio tells us that the smaller angle is ...

... 5 / (5+13) · 180° = 50°

Then the larger angle is 180° - 50° = 130°

The two angles are 50° and 130°.