Question

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°

Answer 1

@amistre64 last one i promise sorry (:

Answer 2

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

Answer 3

ugh, supplementary angles that is

Answer 4

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

Answer 5

hold on

Answer 6

two angles are supplimentary when they add up to 180 degrees

Answer 7

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?

Answer 8

arent we supposed to subtract something

Answer 9

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?

Answer 10

10, times what, is 120?

Answer 11

12

Answer 12

the 10x = 120, when x=12

Answer 13

and

10x + 60 = 180, when x=12

Answer 14

so 12 degrees is the answer (:

Answer 15

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

Answer 16

x=12 will suffice

Answer 17

so then what is the answer ?

Answer 18

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 :)

Answer 19

ok Thank you so much ! (:

Answer 20

yep