Question

Two angles form a linear pair. The measure of one angle is 1/3 the measure of the other angle. Find the angle of each angle.The smaller angles measures ____°The larger angle measures _____°

Answer 1

The smaller angle measures 45 degrees

The larger angle measures 135 degrees

Step-by-step explanation:

If two angles form linear pairt, then their sum is 180

Given that two angles form a linear pair, and the measure of one is 1/3 the measure of the other, let the angles be

x and x/3.

Then we have:

x + x/3 = 180

4x/3 = 180

4x = 180 * 3

4x = 540

x = 540/4

= 135

Therefore, the angles are:

x = 135

x/3 = 135/3 = 45