Question

Find both the complement and supplement of each angle measure. Show and explain your work.

24. y degrees
26. (x + 30) degrees
28. (90 - z degrees)

My Answers: I feel some are wrong but who knows.

24. 90 degrees; 0 degrees
180 degrees; 0 degrees

26. x + 30 = 90
x = 60 degrees

x + 30 = 180
x = 150 degrees

28. (90 - z degrees) = 90
z = 0 degrees

(90 - z degrees) = 180
-z = 90
z = -90 degrees

Answer 1

2 complimentary angles add up to 90

So angle y and its complement add up to 90
----> y + a = 90
----> a = 90 - y
90 -y would then by the compliment to angle y.

Answer 2

Why wouldn't it be 90 degrees and 0 degrees, because it only gave you 1 angle y = 90 degrees, so than the other angle would be 0 degrees? @dumbcow

Answer 3

oh does it say that y=90 ?
however, if we do not know y, then its just 90-y

Answer 4

what about the other problems

Answer 5

so it would be 90 - y and 180 - y

Answer 6

follow the same approach, instead of equaling it to 90. Subtract them from 90.
Given angle a, find compliment c
a+c = 90
c = 90 - a

If a = x+30
Then, c = 90 - (x+30) = 60 - x

Answer 7

correct above

Answer 8

24. 90 - y & 180 - y
26. 60 - x & 150 - x
28. 0 - z & -90 - z

@dumbcow Cause it asks for the complement and supplement not just the complement

Answer 9

yep i was leaving the supplement for you since the method is same, just replace 90 with 180

24, 26 correct

28) you need check your neg signs
z
z+90

Answer 10

okay so just leave the negative out

Answer 11

90 - (90-z) = 90-90-(-z) = z

Answer 12

okay what???

Answer 13

when you distribute the neg, you get neg times neg, which equals a positive

Answer 14

so it's 90 + z or -90 + z

Answer 15

180 - (90 - z) = 180 - 90 -(-z) = 90 + z

Answer 16

thank ya so much for explaining it, it makes more sense to me now