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shtirl [24]
3 years ago
7

SOLVE THIS FOR ME AND YOUR A LEGEND! THANK YOU!

Mathematics
1 answer:
svlad2 [7]3 years ago
6 0

Use the app called socratic. It helps so much and im sure it will help with these problems also.

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If EFH = (5x + 1)°, HFG = 62°, and EFG = (18x + 11)°, find EFH
olga55 [171]

Given:

Consider the below figure attached with this question.

∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°

To find:

The measure of ∠EFH.

Solution:

From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,

\angle EFG=\angle EFH+\angle HFG

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18x+11=5x+63

Isolate variable terms.

18x-5x=63-11

13x=52

Divide both sides by 13.

x=\dfrac{52}{13}

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The value of x is 4.

\angle EFH=(5x+1)^\circ

\angle EFH=(5(4)+1)^\circ

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\angle EFH=21^\circ

Therefore, the measure of ∠EFH is 21°.

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