Two angles form a linear pair. The measure of one angle is six more than twice the measure of the other angle. Find the measure of each angle.

Let one be x, the other is 2x + 6.

Since they form a linear pair they both add up to 180 degrees.

x + 2x + 6 = 180

3x + 6 = 180

3x = 180 - 6

3x = 174

x = 174/3 = 58

2x + 6 = 2*58 + 6 = 122

The measure of each angles are 58 and 122 degrees.

We let x and y represent the two angles,

y = 2x + 6

It was stated in the problem that these angles given are a linear pair. Angles in linear pair are said to add up to 180 degrees. Thus,

y + x = 180

2x + 6 + x = 180

3x = 174

x = 58°

y = 122°