angle 1 and angle 2 are supplementary. m angle 1=3x-4 and m angle 2-8x-14. find the measure of each angle.
a.) m angle 1=130, m angle 2 =50
b.) m angle 1=50, m angle 2=130
c.) m angle 1=110, m angle 2=70
d.) m angle 1=70, m angle 2=110

I need help please,
thanks in advance!

Respuesta :

Answer:

The answer is B) m angle 1=50, m angle 2=130

Step-by-step explanation:

Since we know supplementary angles equal to 180 degrees, all you need to do is add both equations to equal 180 like so:

[tex]3x-4+8x-14=180[/tex] then simplify the equation to get [tex]11x-18=180[/tex]

Solve for x:

[tex]11x=198[/tex]

[tex]x=18\\[/tex]

Finally, you just substitute 18 as x into the equations for angle one and two to get:

angle 1= 50 and angle 2=130