Question

If two angles form a linear pair and the measure of the first angle is one-fifth the measure of the second angle, what is the measure of each angle?

Answer 1

Well, one angle has one share of the linear angle, and the other one has five shares. All together, they add up to six shares of the linear angle.

BUT ... a linear angle adds up to 180°. So each share must be (180°/6) = 30°.

The smaller one (one share) is 30°, and the larger one (5 shares) is 150°.