Question

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

Answer 1

180>3x+24>90
-24 -24
156>3x>66
/3 /3 /3
52>x>22
possible values of x are any number greater than 22, but less than 52

Answer 2

22 < x < 52

Explanation:

An obtuse angle has a measure between 90 and 180 degrees. This means ...

90 < 3x+24 < 180

30 < x+8 < 60 . . . . . . divide by 3

22 < x < 52 . . . . . . . . subtract 8