Two angles form a linear pair. One of them is 4 more than 3 times the other. What is the measure of the smaller angle?

The measure of the smaller angle is 44°.

Step-by-step explanation:

If two angles, A and B, form a linear pair, this means that:

A + B = 180°.

Now, let's suppose that A is the larger one, so A > B.

"One of them is 4 more than 3 times the other"

A = 4 + 3*B

Then we have a system of equations:

A + B = 180

A = 4 + 3*B

First we could replace the second equation into the first one.

A + B = 180

(4 + 3*B) + B = 180

4 + 4*B = 180

4*B = 180 - 4 = 176

B = 176/4 = 44

Then we have that the angles are:

A = 136° and B = 44°

The measure of the smaller angle is 44°.