SOLUTION: There is a picture of a straight line divided into two angles. One angle is labeled as (2x+5)an acute angle; the other angle is an obtuse angle and is labeled as m. The question is

Algebra ->  Finance -> SOLUTION: There is a picture of a straight line divided into two angles. One angle is labeled as (2x+5)an acute angle; the other angle is an obtuse angle and is labeled as m. The question is      Log On


   



Question 786318: There is a picture of a straight line divided into two angles. One angle is labeled as (2x+5)an acute angle; the other angle is an obtuse angle and is labeled as m. The question is: "What is the degree measure of angle m in terms of x. The answer is (-2x +175). I understand the 180 degrees connection. Why is 2x expressed as -2x?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
m+(2x+5)= 180
m+2x+5=180
-2x
m-2x+2x+5=180-2x
m+5=180-2x
-5
m+5-5=180-5-2x
m=175-2x
Hence
m=(-2x+175)