##### Complementary and Supplementary Angle Problems

label Mathematics
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Supplement(S) to angle Z is 12 less than 3 times Z's Complement(c). Find S,C, and Z

Sum of supplement, S, and complement, C, to angle Z is 216 degrees. Find angle Z and its supplement and complement

The measure of the supplement of an angle is three times the measure of the complement of the angle. What is the measure of the angle?

The measure of the supplement of an angle is four times the measure of the complement of the angle. What is the measure of the angle?

Nov 4th, 2015

180-z=12-3(90-c)

z=90-c

combine  to  equations thus  we

348=z+3c

90=-z-c

solving  you get  c  as  209-180  you  get  c  as 29  thus  z=90-29=61  and  s=180-z= 180-61=119

2nd

180-z+90-z=216

270-2z=216

270-216=2z

thus  z=54/2=27 supplement  of  z =180-27=153

complement  of  z  =90-27=63

x+4(90-x)=180

360-180=3x

x=180/3=60

Nov 4th, 2015

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Nov 4th, 2015
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Nov 4th, 2015
Oct 18th, 2017
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