SOLUTION: If angle 1 is 6 more than 3 times its supplement(angle 2), then what is angle 1 and angle 2? I have a big test on questions like this tommorow and I don't really know how to solve

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Question 396797: If angle 1 is 6 more than 3 times its supplement(angle 2), then what is angle 1 and angle 2? I have a big test on questions like this tommorow and I don't really know how to solve them. If you could help that would be great!
Found 2 solutions by solver91311, ewatrrr:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the measure of angle 2. Then angle 1 is represented by . The sum of two supplementary angles is , so:



Solve for to get the measure of angle 2. Multiply by 3 and add 6 to get the measure of angle 1.

John

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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

angle 1 is 6 more than 3 times its supplement(angle 2), 

Let x and (3x + 6) represent ∠2 and ∠1

Questions states***(Note: sum of supplementary angles is 180°

 x + (3x + 6) = 180°

solving for x

   4x = 174°

    x = 43.5°, meausre of ∠2.  Meausre of ∠1  is 136.5°  (3*43.5°+ 6°)



CHECKING our Answer

  43.5° + 136.5° = 180°



Note: If a question is regarding 'complementary' Angles: their sum is 90°