SOLUTION: if m<JNP=3x-15 and m<JNL=5x+59 find the value of x so that <JNP and <JNL are supplements of each other

Algebra ->  Angles -> SOLUTION: if m<JNP=3x-15 and m<JNL=5x+59 find the value of x so that <JNP and <JNL are supplements of each other      Log On


   

Question 495405: if m
Answer by MathLover1(20850) About Me  (Show Source):
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if m of angle JNP=3x-15 and m of angle JNL=5x%2B59 find the value of x so that angle JNP and angle JNL are supplements of each other
by definition, supplementary angles add up to 180°
angles JNP%2BJNL=180

%283x-15%29%2B%285x%2B59%29=180
3x-15%2B5x%2B59=180
8x%2B44=180
8x=180-44
8x=136
x=136%2F8
highlight%28x=17%29
so, m of angle JNP=3x-15 ..->..JNP=3%2A17-15 ..->..JNP=36
and m of angle JNL=5x%2B59 ..->..JNL=5%2A17%2B59..->..JNL=144
check if they are supplementary:
JNP%2BJNL=180
36%2B144=180
180=180