Question

Please help me!!!! I don’t understand

Answer 1

Answer:

m∠EFG = 126°

m∠GFH = 54°

Step-by-step explanation:

If ∠EFG and ∠GFH are a linear pair, then m∠EFG + m∠GFH = 180°

(look at the picture).

We have

m∠EFG = 5n + 16

m∠GFH = 2n + 10

Substitute:

(5n + 16) + (2n + 10) = 180             combine like terms

(5n + 2n) + (16 + 10) = 180

7n + 26 = 180            subtract 26 from both sides

7n + 26 - 26 = 180 - 26

7n = 154         divide both sides by 7

7n/7 = 154/7

n = 22

Insert the value of n into expressions that specify angle measures:

m∠EFG = 5n + 16 → m∠EFG = 5(22) + 16 = 110 + 16 = 126°

m∠GFH = 2n + 10 → m∠GFH = 2(22) + 10 = 44 + 10 = 54°