Two angles from linear pair one angle is 5 times the measure of the other what is the measure of each angle

Answer 1

Since the angles form a linear pair, the sum of their measures is 180°.

Let x = measure of the smaller angle

Then, 5x = measure of the larger angle

So, x + 5x = 180

6x = 180

x = 30

The angles have measures 30° and 150°.