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ZEFG and ZGFH are a linear pair, m ZEFG = 3n + 19, and mZGFH = 2n + 36. What are mZEFG and mZGFH?
mZEFG =
mZGFH =]
(Simplify your answers.)

Answer 1

`\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`
• 
  `\mathrm{ \angle EFG = (3 * 25\degree) + 19}`
• 
  `\mathrm{ \angle EFG = 75 \degree+ 19\degree}`
• 
  `\mathrm{ \angle EFG = 94\degree}`

And

• 
  `\mathrm{ \angle GFH = 2n + 36}`
• 
  `\mathrm{ \angle GFH = (2 * 25\degree) + 36\degree}`
• 
  `\mathrm{ \angle GFH = 50\degree + 36\degree}`
• 
  `\mathrm{ \angle GFH = 86\degree }`

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