One of the adjacent angles is 8 times smaller than the other. Find the degree measure of the larger angle

Let us express the value of the smaller adjacent angle, for which we will use the variable a.

Then, according to the conditions of our task, the value of the larger adjacent angle can be written in the form 8a.

Since we know from the current school curriculum that the adjacent angles together are 180 °, then we can write down the equation and find out what the larger adjacent angle will equal:

a + 8a = 180;

9a = 180;

a = 20;

180 – 20 = 160.