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brilliants [131]
3 years ago
11

This Question: 1 pt

Mathematics
1 answer:
zhenek [66]3 years ago
6 0

\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  \times 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 \times 25\degree) + 36\degree}
  • \mathrm{ \angle GFH = 50\degree + 36\degree}
  • \mathrm{ \angle GFH = 86\degree }

_____________________________

\mathrm{ ☠ \: TeeNForeveR \:☠ }

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