## anonymous one year ago The angles shown below are supplementary: A pair of supplementary angles is shown. One angle measures 10x and the other angle measures 60 degrees. What is the value of x? 6° 9° 12°

1. anonymous

@amistre64 last one i promise sorry (:

2. amistre64

well we need a definition, what does it mean to be complementary angles?

3. amistre64

ugh, supplementary angles that is

4. amistre64

might as well find the definition of both, knowing what complementary and supplementary angles are wont hurt :)

5. anonymous

hold on

6. anonymous

two angles are supplimentary when they add up to 180 degrees

7. amistre64

thats a good definition, so all we need to do is add the angles and equate it to 180 10x + 60 = 180 .... what should x be?

8. anonymous

arent we supposed to subtract something

9. amistre64

sure, it looks like that +60 is getting in the way, lets subtract it ... from BOTH sides 10x + 60 = 180 - 60 -60 -------------- 10x + 0 = 120 so, now we can focus on: 10x = 120 what would you attempt now?

10. amistre64

10, times what, is 120?

11. anonymous

12

12. amistre64

the 10x = 120, when x=12

13. amistre64

and 10x + 60 = 180, when x=12

14. anonymous

so 12 degrees is the answer (:

15. amistre64

well, not 12 degrees, 10x degrees, x is just a number that makes that value of 10x degrees equal ,120 degrees

16. amistre64

x=12 will suffice

17. anonymous

so then what is the answer ?

18. amistre64

hmm, i just noticed that they choose to put it as 12 degrees. old tired eyes .... sure, lets pick the one thats a 12, if you want to tack on a degree notation, its fine apparently :)

19. anonymous

ok Thank you so much ! (:

20. amistre64

yep