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Romashka [77]
3 years ago
5

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

Mathematics
2 answers:
givi [52]3 years ago
7 0

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

motikmotik3 years ago
5 0

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

<em>Find the measure of angle EFG</em>

m∠EFG=3n+22

substitute the value of n

m∠EFG=3(24)+22=94°

<em>Find the measure of angle GFH</em>

m∠GFH=2n+38

substitute the value of n

m∠GFH=2(24)+38=86°

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