Question

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

Answer 1

An obtuse angle is an angle with more than 90 degrees and less than 180. so, we can add < 180 and > 90 to the expression, making it the inequality 180 < 3x + 24 > 90. we then solve.

3x + 24 > 90 and 3x + 24 < 180
3x > 66 and 3x < 156
x > 22 and x < 52

so x can be anything more than 22 and less than 52 (it cannot be 52 or more or 22 or less)

hope this helps!