Question 612423
The sum of two supplementary angles is, by definition, 180 degrees.

If we let x = the smaller angle, then 4x = the larger angle

Since they are supplementary angles, we have
x + 4x = 180
    5x = 180
Dividing both sides of the equation by 5 yields
     x = 36
The measure of the smaller angle is 36 degrees.