SOLUTION: Find the measure of the labeled angles (x+105) degrees and 6x degrees

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Question 986608: Find the measure of the labeled angles
(x+105) degrees and 6x degrees

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
these are supplementary angles and they add up to 180
so, if one angle is %28x%2B105%29 degrees and the other is 6x degrees, then we have:
%28x%2B105%29%2B6x=180....solve for x
x%2B105%2B6x=180
7x=180-105
7x=75
x=75%2F7
x=10.714
angles are: %28x%2B105%29=10.7%2B105=115.714=highlight%28115.7%29 and 6x=6%2A10.147=64.284=highlight%2864.3%29 degrees