One of the adjacent angles is 14 ° larger than the other. What is the degree measure of the smaller of these angles?

Two adjacent corners have a common vertex and a common side, together they make up a flat angle that is 180 degrees. Then the sum of two adjacent angles is 180 degrees:
angle 1 + angle 2 = 180 degrees.
Since angle 1 is 14 degrees greater than angle two, then the equality is true:
angle 1 = angle 2 + 14 degrees.
Then:
angle 2 + 14 degrees + angle 2 = 180 degrees;
2 * angle 2 = 180 degrees – 14 degrees;
2 * angle 2 = 166 degrees;
angle 2 = 166 degrees / 2;
angle 2 = 83 degrees.
Find the degree measure of angle 1:
angle 1 = 83 degrees + 14 degrees = 97 degrees.
angle 1> angle 2, since 97> 83.
Answer: angle 2 = 83 degrees.