Question

I will give 98 points and brainliest for answer! I have been stuck on this for days and it is driving me bonkers!!!

angleEFG and angleGFH are a linear​ pair, mangleEFG=2n+22​, and mangleGFH=4n+38.
What are mangleEFG and mangle​GFH?

Answer 1

A linear pair of angles when added together need to equal 180 degrees.

Add the two equations together to equal 180 and solve for n:

2n+22 + 4n+38 = 180

Simplify by combining like terms:

6n + 60 = 180

Subtract 60 from both sides:

6n = 120

Divide both sides by 6:

n = 120/6

n = 20

Now you have a value for n, replace n in each equation and solve:

EFG = 2n +22

= 2(20) +22

= 40 + 22

EFG = 62 degrees.

GFH = 4n+38

=4(20) +38

= 80 +38

GFH  = 118 degrees.