The corners COD and DOK are adjacent. Find the DOK angle if the COD angle is 3.5 times less than the DOK angle.

By definition, adjacent angles have a common side, in our case – OD, and represent an unfolded angle with a degree measure of 180 °. Enter the variable x and denote the degree measure of the angle COD. According to the condition of the problem, the DOK angle will be 3.5x. We got the equation:
x + 3.5x = 180
4.5x = 180
x = 40 ° – COD angle.
3.5 * 40 = 140 ° or
180 ° – 40 ° = 140 ° – DOK angle.
Answer: DOK angle has a degree measure of 140 °.