Question

Please help its too complicated

∠EFG and ∠GFH are a linear pair, m∠EFG=4n+24 and m∠GFH=3n+23 what are m∠EFG and m∠GFH

Answer 1

Answer: EFG = 100, GFH = 80

Explanation:

Remember this first: Any linear pair of angles are supplementary (both measures add up to 180).

So you can just add both equations. 4n + 24 + 3n + 23 = 7n + 47

7n + 47 = 180

7n = 180 - 47

7n = 133

n = 19

Now solve for both equations.

EFG = 4n + 24 = 4(19) + 24 =

76 + 24 = 100

GFH = 3(19) + 23 =

57 + 23 =

80

Another way you could've done this is just by subtracting the first value of the one you solve from 180 since you already know they both add up to 180:

180 - EFG = GFH

180 - 100 = GFH

80 = GFH