Question

Let (3x+24) represent the measure of an obtuse angle. What are the possible values of x?

Answer 1

Hint: Since the angle is obtuse, this means that the angle is between 90 and 180 degrees.


So we know that \[\large 90\le3x+24\le180\]


Solve for x to find the possible values of x

Answer 2

wow, thanks!

Answer 3

actually, 90 degrees isn't included, so it should be \[\large 90<3x+24\le180\]

Answer 4

since a 90 degree angle isn't obtuse

Answer 5

oh

Answer 6

so can you walk me through what to do next?

Answer 7

subtract 24 from all sides, what do you get?

Answer 8

66<2x<(should be underlined) 156

Answer 9

22<x<(underlined) 78

Answer 10

you mean \[\large 66<3x\le156\] right?

Answer 11

whered you get 3x

Answer 12

oh

Answer 13

now divide all sides by 3 to get the answer of \[\large 22<x\le52\]

Answer 14

that;s the final answer?

Answer 15

the 3x came from the original problem of 3x+24

Answer 16

yeah

Answer 17

what does \[\large \large 22<x\le52\] mean

Answer 18

you divide 3 on each side

Answer 19

it is greater than 22, but less than or equal to 52

Answer 20

but just looking at that alone, what does it mean?

Answer 21

good

Answer 22

so x is any number that is between 22 and 52, but NOT including 22

Answer 23

yeah

Answer 24

so x could be 23, or it could be 25, or it could be 36, etc

Answer 25

thx

Answer 26

does that make sense?

Answer 27

yeah