Question

angle EFG and angle GFH are a linear pair, m angle GFH= 2n+38 and m angle GFH=2n+38. what are m angle EFG and m angle GFH

Answer 1

Answer:

$m$

$m$

Step-by-step explanation:

angle EFG and angle GFH are a linear pair

m<EFG +m<GFH = 180 degree because it is linear pair

m<EFG= 3n+22 and m<GFH=2n+38

m<EFG +m<GFH = 180

$3n+22+2n+38=180$

Combine like terms

$5n+60=180$

Subtract 60 from both sides

$5n=120$

Divide both sides by 5

n=24

$m$

$m$

Answer 2

Answer:

Part 1) m∠EFG=94°

Part 2) m∠GFH=86°

Step-by-step explanation:

we know that

m∠EFG+m∠GFH=180° -----> by linear pair (given problem)

we have

m∠EFG=3n+22

m∠GFH=2n+38

substitute the values

(3n+22)°+(2n+38)°=180°

Solve for n

(5n+60)=180

5n=180-60

5n=120

n=24

Find the measure of angle EFG

m∠EFG=3n+22

substitute the value of n

m∠EFG=3(24)+22=94°

Find the measure of angle GFH

m∠GFH=2n+38

substitute the value of n

m∠GFH=2(24)+38=86°