The COD angle and the DOK angle are adjacent. Find ∠COD, 3.5 times less than ∠DOK.

The sum of adjacent angles is 180 degrees.

Let’s solve the problem using the equation.

Solution:

Let ∠COD be equal to x degrees, then ∠DOK is equal to 3.5x degrees.

Let’s compose and solve the equation:

x + 3.5x = 180;

4.5x = 180;

x = 180: 4.5;

x = 40 (degrees) – ∠COD.

40 × 3.5 = 140 (degrees) – ∠DOK.

Answer: ∠COD is 40 degrees, ∠DOK is 140 degrees.