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2 years ago

∠EFG and ∠GFH are a linear pair, m∠EFG=3n+23, and m∠GFH=2n+32. What are m∠EFG and m∠GFH?

Mathematics

1 answer:

NARA [144]2 years ago

8 0

the measures of the angles are:

m∠EFG = 98°
m∠GFH = 82°

<h3>How to find the measures of the angles?</h3>

Two angles are a linear pair if their measures add up to 180°.

Then we will have that:

∠EFG + ∠GFH = 180

Here we know that:

m∠EFG=3n+23

m∠GFH=2n+32

Replacing that we get:

3n + 23 + 2n + 32 = 180

5n + 55 = 180

5n = 180 - 55 = 125

n = 125/5 = 25

Then the measures of the angles are:

m∠EFG=3n+23 = 3*25 +23 = 98°

m∠GFH=2n+32 = 2*25 + 32 = 82°

If you want to learn more about angles:

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∠EFG and ∠GFH are a linear​ pair, m∠EFG=3n+23​, and m∠GFH=2n+32. What are m∠EFG and m∠​GFH?

∠EFG and ∠GFH are a linear pair, m∠EFG=3n+23, and m∠GFH=2n+32. What are m∠EFG and m∠GFH?