SOLUTION: If m<P=(9x+20)find the measure of each of the following. supplement of <P complement of <P

Algebra ->  Angles -> SOLUTION: If m<P=(9x+20)find the measure of each of the following. supplement of <P complement of <P      Log On


   

Question 773841: If m supplement of


Answer by MathLover1(20850) About Me  (Show Source):

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If m< P=%289x%2B20%29 find the measure of each of the following:
supplement x of < P: Supplementary Angles add up to 180°.
P%2Bx=180°
%289x%2B20%29%2Bx=180°
9x%2B20%2Bx=180°
10x=180-20°
10x=160°
x=160%2F10°
highlight%28x=16%29°
now find measure of angle P
m< P=%289x%2B20%29
m< P=9%2A16%2B20
m< highlight%28P=164%29
so, m< highlight%28P=164%29 and its supplement highlight%28x=16%29°


complement x of < P: complementary Angles add up to 90°
P%2Bx=90°
%289x%2B20%29%2Bx=90°
9x%2B20%2Bx=90°
10x=90-20°
10x=70°
x=70%2F10°
highlight%28x=7%29°
now find measure of angle P
m< P=%289x%2B20%29
m< P=9%2A7%2B20
m< highlight%28P=83%29
so, m< highlight%28P=83%29 and its complement highlight%28x=7%29°