The degree measures of adjacent angles are 7: 2 find these angles.

To solve this problem, we introduce a conditional variable “X”, through which we denote the value of the degree measure of one part of the ratio.

Consider the fact that adjacent corners form a common angle of 180 degrees.

Then, based on the data of the problem, we will compose the following equation: X = 180 / (7 + 2).

Solving this equation, we get X equal to 20 degrees.

Therefore, the adjacent angles will be 7 x 20 = 140 degrees and 2 x 20 = 40 degrees.

Answer: Adjacent angles will be 140 degrees and 40 degrees.