Supplementary question?

Question

I was wondering...how do I do this?

Find the measure of the angle, its supplementary, and complementary.
The supplementary is 3 times the amount of 8 times of its complementary.

I just don't get how to do this...Please help!

Answer 1

Let angle = θ
Supplement = 180 - θ
Complement = 90 - θ
3(180 - θ) = 8 (90 - θ)
540 - 3θ = 720 - 8θ
5θ = 180
θ = 36°

Answer 2

For an angle x, the supplementary is (180-x), and its complementary is (90-x) [in degrees].

Now translate the sentence that relates all those into symbols:
"The supplementary is 3 times the amount of 8 times of its complementary."
(180-x) = 3 * 8 *(90-x)

You can do the algebra, right?

Answer 3

if the complementary angle is x degree , the supplementary angle is (90 + x) degree.
Hence, we have the equation :
90+x = 3*8*x = 24x
23x = 90
x = 3.91

Answer 4

I think the angle is 1980/23, the comp/ is 90/23, and the supp. is 2160/23

if x is the angle and y is the comp, and the supp. is 24 times the comp......

x + 24y = 180
-
x + y = 90
23y = 90.. go from there

Answer 5

24x=180 x=7.5
x+y=90 y=82.5 degrees
x equals complementary
y equals angle