SOLUTION: The difference between the measures of an angle and it's supplement is sixty-six. Find the measure of both angles.

Algebra ->  Angles -> SOLUTION: The difference between the measures of an angle and it's supplement is sixty-six. Find the measure of both angles.      Log On


   

Question 213098: The difference between the measures of an angle and it's supplement is sixty-six. Find the measure of both angles.
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
The difference between the measures of an angle and it's supplement is sixty-six. Find the measure of both angles.

Step 1. Two angles are supplementary when the add up to 180 degrees.

Step 2. Let m be one angle and let n be the other angle. So m%2Bn=180.

Step 3. Difference between m and n is 66. degrees or m-n=66

Step 4. Substitute n=180-m into equation of Step 3. Therefore,

m-n=66

m-%28180-m%29=66

2m-180=66

2m-180%2B180=66%2B180

2m=246

m=123

n=180-123=57

Step 5. Angles are 123 and 57. Note the difference is 66 and they add up to 180.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J