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ICE Princess25 [194]
2 years ago
6

I need help in this question

Mathematics
1 answer:
dimulka [17.4K]2 years ago
7 0

Answer:

x = 4

m∠EFH = 21°

m∠EFG = 83°

Step-by-step explanation:

We know that m∠EFH + m∠HFG will be equal to m∠EFG.

Since we know the values of each, we can make the equation:

5x + 1 + 62 = 18x + 11

Let's solve for x by isolating it on one side.

Combine like terms:

5x + 63 = 18x + 11

Subtract 11 from both sides:

5x + 52 = 18x

Subtract 5x from both sides:

52 = 13x

Divide both sides by 13:

x = 4

Now that we know the value of x, we can substitute it inside the formulas for m∠EFH and m∠EFG.

m∠EFH:

5x+1\\\\5(4)+1\\\\20+1\\\\21

m∠EFG:

18x+11\\\\18(4)+11\\\\72+11\\\\83

Hope this helped!

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