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?

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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

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