Math, asked by sunita16582, 8 months ago

please solve this question fast​

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Answers

Answered by simr8734
0

Answer:

soo soo sorry for bad hndwrtg

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Answered by sethrollins13
35

Given :

  • ∠SPR = 135°
  • ∠PQT = 110°

To Find :

  • ∠PRQ

Solution :

\longmapsto\tt{\angle{PQT}+\angle{PQR}=180\degree\:(Linear\:Pair)}

\longmapsto\tt{110\degree+\angle{PQR}=180\degree}

\longmapsto\tt{\angle{PQR}=180\degree-110\degree}

\longmapsto\tt\bf{\angle{PQR}=70\degree}

Now ,

\longmapsto\tt{\angle{SPR}=\angle{PQR}+\angle{PRQ}\:(Exterior\:Angles)}

\longmapsto\tt{135\degree=70\degree+\angle{PQR}}

\longmapsto\tt{135\degree-70\degree=\angle{PQR}}

\longmapsto\tt\bf{\angle{PQR}=65\degree}

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