The sum of the interior angles of a triangle is always 180 degrees.

The sum of the interior angles of a quadrilateral is always 360 degrees.

The sum of the interior angles of a pentagon is always 540 degrees.

The sum of the interior angles of a hexagon is always 720 degrees.

The sum of the interior angles of a heptagon is always 900 degrees.

The sum of the interior angles of an octagon is always 1080 degrees.

The sum of the interior angles of a nonagon is always 1260 degrees.

The sum of the interior angles of a decagon is always 1440 degrees.

The sum of the interior angles of an n-gon is always (n-2) * 180 degrees.

Two angles are complementary if their sum is 90 degrees. Therefore, the measure of an angle that is complementary to a 30° angle is 60°.

Two angles are supplementary if their sum is 180 degrees. Therefore, the measure of an angle that is supplementary to a 120° angle is 60°.

Let x be the measure of the complementary angle. Then, the measure of the angle that is twice the size of its complementary angle is 2x. Since the sum of the two angles is 90 degrees, we have x + 2x = 90. Solving for x, we get x = 30. Therefore, the measure of the angle that is twice the size of its complementary angle is 2x = 2 * 30 = 60 degrees.

Let x be the measure of the supplementary angle. Then, the measure of the angle that is three times the size of its supplementary angle is 3x. Since the sum of the two angles is 180 degrees, we have x + 3x = 180. Solving for x, we get x = 45. Therefore, the measure of the angle that is three times the size of its supplementary angle is 3x = 3 * 45 = 135 degrees.

Let x be the measure of the second angle. Then, the measure of the first angle is 2x and the measure of the third angle is 3x. Since the sum of the angles in a triangle is 180 degrees, we have x + 2x + 3x = 180. Solving for x, we get x = 30. Therefore, the measure of the largest angle, which is the third angle, is 3x = 3 * 30 = 90 degrees.

The sum of the angles in a quadrilateral is 360 degrees. Therefore, the measure of the fourth angle is 360 - 100 - 120 - 140 = 100 degrees.