Complementary and Supplementary Angle Problems

Mathematics
Tutor: None Selected Time limit: 1 Day

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

Thank you for the opportunity to help you with your question!

Supplementary adds to  180 

complimentary  adds  to  90

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

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 4th, 2015

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