Two angles form a linear pair. the measure of one angle is 4 times greater than the measure of the other angle. find the measure of each angle

Linear pair angles add up to 90 degrees.

The angles are 18 degrees and 72 degrees

Let the angles be x and y

Such that

So, we have:

---- linear pair add up to 90

Substitute

Divide both sides by 5

Recall that:

Substitute 18 for y

Hence, the angles are 18 degrees and 72 degrees

Read more about linear pair angles at:

link

the sum of the linear pair angles equals 180°

∠1: 4x

∠2: x

4x + x = 180

5x = 180

 x  = 36

∠1: 4x  = 4(36)  = 144

36° and 144°