Question

In ∆PQR, RP is produced to S. If ∠PRQ = 27° and ∠QPR = 74° find ∠PQR and ∠SPQ​

Answer 1

Answer:

∠PQR  = 79 ,∠SPQ​ = 106 ​

Step-by-step explanation:

i)∠PQR = ?

∠PRQ + ∠QPR + ∠PQR  = 180   { Angle Sum property}

27 + 74 + ∠PQR  = 180

101 + ∠PQR  = 180

∠PQR  = 180 - 101

therefore, ∠PQR  = 79  ​

ii) ∠SPQ​ = 180 - ∠QPR        {linear pair}

= 180 - 74

= 106

therefore, ∠SPQ​ = 106 ​

Answer 2

Answer:

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