The measure of the supplement of an angle is one fourth the measure of the angle. what is the measure of each angle

What is the measure of an angle that is one fourth as large as its supplement. 

Step 1. Supplementary angles means two angles add up to 180 degrees. 

Step 2. Let x be the angle. 

Step 3. Let 180-x be the supplementary angle. 

Step 4. Then  since the measure of an angle that is one fourth as large as its supplement. 

Step 5. Solving the equation in Step 4 yields the following steps. 

Multiply 4 to both sides to get rid of the denominator 

 

 

Add x to both sides of the equation 

 

 

Divide 5 to both sides of the equation 

 

 and  where 36 is one-fourth of 144. 

Step 6. ANSWER: The angle is 36 degrees.