Question

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.

Answer 1

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°