Answer: 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°.
