Adjacent angles are 1: 3; what is the degree of the larger of these angles?

1. Let’s denote the smaller angle through x.

2. Determine the degree measure of the larger angle:

3 * x = 3x.

3. Since the sum of adjacent angles is 180˚, we compose and solve the equation:

3x + x = 180˚;

4x = 180˚;

x = 180˚: 4;

x = 45˚.

4. The degree measure of the smaller angle is x = 45˚.

5. What is the larger angle?

3 * x = 3 * 45˚ = 135˚.

Answer: The degree measure of the larger angle is 135˚.