[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
Angles forming linear pair are :
[tex] \mathrm{\angle EFG \: \: and \: \: \angle GFH} [/tex]
And we know, they are supplymentary
- [tex] \mathrm{\angle EFG \: + \: \angle GFH} = 180 \degree[/tex]
- [tex]3n +1 9 \degree+ 2n + 36\degree = 180 \degree[/tex]
- [tex]5n + 55\degree = 180\degree[/tex]
- [tex]5n = 125\degree[/tex]
- [tex]n = 25\degree[/tex]
So, the measures of the given angles are :
- [tex] \mathrm{\angle EFG } = 3n + 19[/tex]
- [tex] \mathrm{ \angle EFG = (3 \times 25\degree) + 19}[/tex]
- [tex] \mathrm{ \angle EFG = 75 \degree+ 19\degree}[/tex]
- [tex]\mathrm{ \angle EFG = 94\degree}[/tex]
And
- [tex]\mathrm{ \angle GFH = 2n + 36}[/tex]
- [tex]\mathrm{ \angle GFH = (2 \times 25\degree) + 36\degree}[/tex]
- [tex]\mathrm{ \angle GFH = 50\degree + 36\degree}[/tex]
- [tex]\mathrm{ \angle GFH = 86\degree }[/tex]
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