Find the value of each of the inner one-sided corners if one of them is 4 times larger than the other.

1. Let’s denote the degree measure of the smaller one-sided angle through x.
2. Define the degree measure of the larger one-sided angle:
4 * x = 4x.
3. Since the sum of internal one-sided angles is 180˚, we compose and solve the equation:
4x + x = 180˚;
5x = 180˚;
x = 180˚: 5;
x = 36˚.
4. The degree measure of the smaller one-sided angle is x = 36˚.
5. What is the degree measure of the larger one-sided angle?
4 * x = 4 * 36˚ = 144˚.
Answer: the degree measures of internal one-sided angles are 36˚ and 144˚.