EFG and ∠GFH are a linear pair, m∠EFG 3n+23 , and m∠GFH 4n+17. What are m∠EFG and m∠ GFH?

Question

Mathematics

Zariah Randolph

13 May, 20:04

EFG and ∠GFH are a linear pair, m∠EFG 3n+23 , and m∠GFH 4n+17. What are m∠EFG and m∠ GFH?

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Answers (1)

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Bridget Underwood · Answer 1

M∠EFG = 3n + 23

m∠GFH = 4n + 17

m∠EFG + m∠GFH = 180

(3n + 23) + (4n + 17) = 180

(3n + 4n) + (23 + 17) = 180

7n + 40 = 180

- 40 - 40

7n = 140

7 7

n = 20

m∠EFG = 3n + 23

m∠EFG = 3 (20) + 23

m∠EFG = 60 + 23

m∠EFG = 83

m∠GFH = 4n + 17

m∠GFH = 4 (20) + 17

m∠GFH = 80 + 17

m∠GFH = 97