The OC beam lies within the 60 ° angle AOB. Find the AOC angle if it is twice the BOC angle.

Let us denote by the variable n the number of degrees, which corresponds to the value of the smaller of the two formed angles (ВOC).

Accordingly, according to the conditions of this task, the number of degrees, which corresponds to the value of the larger of the two formed angles (AOC), we can represent in the form 2n.

Since we know that these angles form the designated angle AOB equal to 60 °, we write down the equation and calculate the angle AOC;

n + 2n = 60;

3n = 60;

n = 20;

60 – 20 = 40.

Answer: The resulting angle AOC = 40 °.