3 years ago

24 € (17, 19, 21,..., 35) Is it true or false

Mathematics

1 answer:

Ratling [72]3 years ago

4 0

Answer:

true

Step-by-step explanation:

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This Question: 1 pt

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$\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}$

Angles forming linear pair are :

$\mathrm{\angle EFG \: \: and \: \: \angle GFH}$

And we know, they are supplymentary

$\mathrm{\angle EFG \: + \: \angle GFH} = 180 \degree$
$3n +1 9 \degree+ 2n + 36\degree = 180 \degree$
$5n + 55\degree = 180\degree$
$5n = 125\degree$
$n = 25\degree$

So, the measures of the given angles are :

$\mathrm{\angle EFG } = 3n + 19$
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$\mathrm{ \angle EFG = 75 \degree+ 19\degree}$
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And

$\mathrm{ \angle GFH = 2n + 36}$
$\mathrm{ \angle GFH = (2 \times 25\degree) + 36\degree}$
$\mathrm{ \angle GFH = 50\degree + 36\degree}$
$\mathrm{ \angle GFH = 86\degree }$

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