The AO beam split the swept angle KOL into two angles. The magnitude of one of them is 5 times

The AO beam split the swept angle KOL into two angles. The magnitude of one of them is 5 times the magnitude of the other. What are these adjacent angles?

The flat angle KOL is 180 degrees.

KOL angle = 180º = KOA angle + AOL angle.

Let the angle KOA = x, therefore, the angle AOL = 5 * x.

Let’s write the equation:

180º = x + 5 * x = 6 * x.

X = 180º / 6 = 30º.

Then the adjacent angle is 180º – 30º = 150º.

Answer: adjacent angles are 30º and 150º.