• Love_333
Help? Will award medal for answer and walk through of how to find the answer. The measure of the larger of two adjacent angles is 12 degrees more than three times the measure of the smaller angle. If the two angles are also supplementary, what is the measure of the smaller angle?
  • Stacey Warren - Expert
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
  • chestercat
I got my questions answered at in under 10 minutes. Go to now for free help!
  • Love_333
A. 42 degrees B. 56 degrees C. 64 degrees D. 138 degrees
  • Love_333
@firekat97 Can you tell me how you got that?
  • FireKat97
wait no I read it wrong lol sooo lets assume two angles; a and b so lets say a is the larger one. so in the first bit we understand that a = 12 + 3b and in the second part we are told that they are both supplementary (add up to 180) therefore a + b = 180 so now we have two simultaneous equations. (1) a = 12 + 3b (2) a + b = 180 ...... a = 180 -b therefore 180 - b = 12 + 3b (180 - 12) = (3b + b) 168 = 4b therefore b = 42 so the answer is actually 42 not 56 sorry

Looking for something else?

Not the answer you are looking for? Search for more explanations.