Two angles add up to 180 degrees, one of which is 5 times larger than the other, find these angles.

Suppose the first angle is x, if the second angle is 5 times greater than the first, then it is 5x. We get the following equation:

x + 5x = 180;

6x = 180 | : 6, we divide both sides of the equation by 6.

x = 30 ° – the first angle.

Since our second angle is 5x:

5 * 30 = 150 ° – the second angle.

Answer: 30 °, 150 °