Answer:
x = 41°
∠1 = 123°
∠2 = 57°
Step-by-step explanation:
If angles 1 & 2 are supplementary, that means...
[tex]\angle1 +\angle2=180\textdegree[/tex]
To find the value of each angle, you first must find the value of x by plugging in the values of both angles...
[tex]\angle1 +\angle2=180\textdegree\Longrightarrow3x+(2x - 25) = 180\textdegree[/tex]
First, combine like values, then subtract add 25 to both sides.
[tex]3x + 2x = 5x\Longrightarrow 5x - 25+ (25) = 180 + (25)\\\\5x=205[/tex]
Then, divide both sides by 5, and plug the value of x into the original equations for angles 1 & 2.
[tex]\frac{5x = 205}{5}\\\\x = 41\textdegree\\\\\angle1= 3x = 3(41) = 123\textdegree\\\\\angle2=2x-25=2(41)-25=82-25=57\textdegree[/tex]
