Question

Angle 1 and 2 are supplementary. Angle 1=3x° angle 2=(2x. -25)° select from the drop down menu

Answer 1

x = 41°

∠1 = 123°

∠2 = 57°

Explanation:

If angles 1 & 2 are supplementary, that means...

`\angle1 +\angle2=180\textdegree`

To find the value of each angle, you first must find the value of x by plugging in the values of both angles...

`\angle1 +\angle2=180\textdegree\Longrightarrow3x+(2x - 25) = 180\textdegree`

First, combine like values, then subtract add 25 to both sides.

`3x + 2x = 5x\Longrightarrow 5x - 25+ (25) = 180 + (25)\\\\5x=205`

Then, divide both sides by 5, and plug the value of x into the original equations for angles 1 & 2.

`(5x = 205)/(5)\\\\x = 41\textdegree\\\\\angle1= 3x = 3(41) = 123\textdegree\\\\\angle2=2x-25=2(41)-25=82-25=57\textdegree`