Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

This Question: 1 pt
1 of 20 (0 complete)
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.)


This Question 1 Pt 1 Of 20 0 Complete 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 class=

Sagot :

[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]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]