SOLUTION: Angles BAC and Angle CAD are supplementary angles. Find the measure of each angle if the measure of angle BAC is 18x + 16 and the measure of Angle CAD is 15x + 8. Round angle measu

Algebra ->  Angles -> SOLUTION: Angles BAC and Angle CAD are supplementary angles. Find the measure of each angle if the measure of angle BAC is 18x + 16 and the measure of Angle CAD is 15x + 8. Round angle measu      Log On


   

Question 507549: Angles BAC and Angle CAD are supplementary angles. Find the measure of each angle if the measure of angle BAC is 18x + 16 and the measure of Angle CAD is 15x + 8. Round angle measures to the nearest tenth.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
BAC=18x%2B16
CAD=15x%2B8
By definition,
BAC%2BCAD=180
Substitute,
%2818x%2B16%29%2B%2815x%2B8%29=180
33x%2B24=180
33x=156
x=156%2F33
Then from above,
BAC=18%28156%2F33%29%2B16=2808%2F33%2B18
CAD=15%28156%2F33%29%2B8=2340%2F33%2B8
I leave it to you to get the answer to the desired decimal places.