Angles AOB and BOC are adjacent. AOB is 20 degrees larger than BOC. Find these corners.

From the condition, we are given 2 adjacent corners. These are the angles AOB and BOC. It is also known that the AOB angle is 20 degrees greater than the BOC.

To find the degree measure of these angles, we will first of all recall the properties of the angles that are adjacent.

The theorem says that the sum of adjacent angles = 180 °.

We introduce the variable x ° with which we denote the degree measure BOC, then the angle AOB can be written as (x + 20) °.

We get a linear equation:

x + (x + 20) = 180;

x + x + 20 = 180;

2x = 180 – 20;

2x = 160;

x = 160: 2;

x = 80 ° BOC and 80 + 20 = 100 ° AOB.