SOLUTION: A. Find the supplementary angle of 34 A. 146 B. 56 C. 34 D. 68 (2 pts) B. ABC and PQR are supplemen

Algebra ->  Angles -> SOLUTION: A. Find the supplementary angle of 34 A. 146 B. 56 C. 34 D. 68 (2 pts) B. ABC and PQR are supplemen      Log On


   

Question 203489: A. Find the supplementary angle of 34
A. 146 B. 56 C. 34 D. 68
(2 pts) B. ABC and PQR are supplementary angles and ABC is eleven times as large as PQR. Determine the measure of each angle.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Supplementary angles add up to 180 degrees.
180-34+=+146degrees.
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ABC + PQR = 180 degrees. The angles are supplementary.
ABC = 11*(PQR) Substitute this into the first equation.
11*(PQR)+PQR = 180
12*(PQR) = 180 Divide both sides by 12.
PQR = 15 degrees.
ABC = 11*(PQR)
ABC = 11*(15)
ABC = 165 degrees.