## anonymous 5 years ago An angle whose supplement is 3 times the measure of it supplement

1. anonymous

you dont have a complete sentence

2. anonymous

$180-\theta=3(180-\theta) \implies \theta=180 degrees$

3. anonymous

the english is screwy

4. anonymous

i did what I understood ;)

5. anonymous

well that is how the question is wrote out for me?

6. anonymous

you got an absurd conclusion

7. anonymous

no , write it again and double check

8. anonymous

Find the measure of an angle whose supplement is 3 times the angle.

9. anonymous

Thats the question

10. anonymous

oops, the last word is complement, sorry its late

11. anonymous

x + y = 180, y = 3x

12. anonymous

$180-\theta=3(90-\theta) \implies 2\theta=90 \implies \theta=45$

13. anonymous

3x + x = 180 x = 45

14. anonymous

y = 135

15. anonymous

$if \ \theta>90\ then\ 180-\theta=3(\theta-90) \implies \theta=112.5\ else\ \theta=45$

16. anonymous

I'm not sure what ask but i think 2 way can solve frist: 180-x=3(90-x) or: 180=3(90-x) 180-x=270-3x 180=270-3x -x+3x=270-180 -270+180=-3x 2x = 90 -90 = -3x x= 90 -90/-3=x x=45 30 = x

17. anonymous

@Nancy Lam: you are assuming that x<90. What if x>90?