Question

Please help!

angleEFG and angleGFH are a linear​ pair, mangleEFG=s2n+22​, and mangleGFH=4n+38. What are mangleEFG and mangle​GFH?

Answer 1

Answer:
`m\angle EFG=62^(\circ),\ m\angle GFH =118^(\circ) .`

Explanation:

We know that a linear pair is pair of angles whose sum is 180°.

Given, ∠ EFG and ∠ GFH are a linear​ pair

`m\angle EFG= s^2n+22` and
`m\angleGFH = 4n+38`

By definition of linear pair.

`m\angle EFG+m\angle GFH = 180^(\circ)\\\\\Rightarrow\ 2n+22+4n+38=180\\\\\Rightarrow6n+60=180\\\\\Rightarrow6n=180-60 \\\\\Rightarrow6n=120\\\\\Rightarrow n=20`

Now,

`m\angle EFG = 2(20)+22=40+22=62^(\circ)\\\\ m\angle GFH = 4(20)+38=80+38=118^(\circ)`

Hence,
`m\angle EFG=62^(\circ),\ m\angle GFH =118^(\circ) .`