Math, asked by sufiyanullicanti, 4 days ago

pls solve this guys
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all 3 questions plss

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Answers

Answered by Nishith15
0

Answer:

Step-by-step explanation:

6)

Using the vertically opposite angle theorem

8y=32 \textdegree \\Therefore,\\y=\frac{32}{8} \textdegree =4\textdegree -ANS\\

Again using the vertically opposite angle theorem,

3x=27\textdegree\\therefore\\x=\frac{27}{3} \textdegree=9\textdegree-ANS

7) (look in the attached screenshot below)for reference of parralellogram

Therefore,

Since\ \angle R+\angle Q=180\textdegree\\Therefore\\2x\textdegree+25\textdegree+3x\textdegree-5\textdegree=180\textdegree\\Therefore,\\5x\textdegree+20\textdegree=180\textdegree\\Therefore\\5x\textdegree=160\textdegree\\Therefore,\\x=\frac{160}{5} \textdegree=32\textdegree-ANS

8)

Let intersection of line SN and lineDE=O

Using vertically opposite angle theorem  ∠DSO=x,

Since 180°=∠NOE+x+x=∠NOE+2x

Therefore, ∠NOE=180°-2x

Since ∠NOE=∠DOS

Therefore ∠DOS=180°-2x

Since,

180°= ∠ODS+∠DSO+∠DOS

Therefore,

180°= 58°+x+180°-2x

Therefore

180°= 238°-x

Therefore,

x=238°-180°=58°-ANS

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