The measure of an obtuse angle is represented by the expression 2x+5 what is the possible value for X 90<obtuse<180

Answer 1

90 . < 2x+5 < 180

85 < 2x < 175

85/2 < x < 175/2

42.5 < x < 87.5

Answer 2

x is between 42.5 degrees and 87.5 degrees.

We can start with what you wrote: 90 < obtuse < 180. In this case the obtuse angle is 2x+5, so we can substitute that in:

90 < 2x+5 < 180.

From here, we just solve for x:

1. Subtract 5 from all "sides": 85 < 2x < 175
2. Divide everything by 2: 42.5 < x < 87.5