Adjacent angles are 1: 2. What is the degree measure of the smaller of these angles?

In order to find the values of each of the two adjacent angles, we will compose and solve the equation.

Let’s start by looking at the condition of the problem. It says that adjacent angles are 1: 2.

Let’s enter the coefficient of similarity k. And then the degree measure of each of the angles can be written as 1k and 2k.

Based on the fact that the sum of adjacent angles is 180 °.

k + 2k = 180;

k (1 + 2) = 180;

3k = 180;

k = 180: 3;

k = 60.

The angles are as follows:

1 * 60 = 60 °;

2 * 60 = 120 °.

Answer: 60 ° and 120 °.