An angle of 160 degrees is divided by the ray at the apex of the angle into two angles, one of which is 20 degrees less

We draw up an equation in which one of the two obtained angles is written as x °.

Since we know from the problem statement that the second angle is 20 ° less than the first, then its value will be: x – 20 °.

Since the sum of the two angles is 160 °, we get the following equation:

x + x – 20 = 160.

2 * x = 160 + 20.

2 * x = 180.

x = 180/2 = 90 ° (first angle).

x – 20 = 90 – 20 = 70 ° (second angle).

Answer:

90 ° and 70 °.