Hello!
Thanks for checking my question out!
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19)
If ∠EFG and ∠GFH are a linear pair,
m∠EFG = 2n + 21, and m∠GFH = 4n + 15.
What are m∠EFG and m∠GFH?
Could someone please help me out?
Thanks!
- Da Fash
a linear pair make up a straight angle. So,
2n+21 + 4n+15 = 180
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Thanks!
284)3828
Sure, I can help you with that!
To find the measures of ∠EFG and ∠GFH, we need to use the fact that they form a linear pair, which means they are adjacent angles that add up to 180 degrees.
So, we can set up the equation:
m∠EFG + m∠GFH = 180
Now, let's substitute the given values:
(2n + 21) + (4n + 15) = 180
Combine like terms:
6n + 36 = 180
Subtract 36 from both sides:
6n = 144
Divide both sides by 6:
n = 24
Now that we have the value of n, we can find the measures of the angles:
m∠EFG = 2n + 21 = 2(24) + 21 = 48 + 21 = 69 degrees
m∠GFH = 4n + 15 = 4(24) + 15 = 96 + 15 = 111 degrees
Therefore, the measure of ∠EFG is 69 degrees, and the measure of ∠GFH is 111 degrees.
I hope this helps! Let me know if you have any further questions.