Question

Sides qp and rq of triangle pqr are produced to point s and t respectively. If angel spr = 35° and angel pqt = 70° find angle sqr and angle prq.

Answer 1

Answer:

Step-by-step explanation:

Given that

   SPR = 135 and PQT = 110

   Now, SPR + QPR = 180             (linear pair angles)

    135 + QPR = 180  

    QPR = 45                          

   Also, PQT + PQR = 180             (linear pair angles)

    110 + PQR = 180

   PQR = 70      

   As we know that sum of all interior angles of a triangle is 180, so, for PQR  

QPR + PQR + PRQ = 180  

45 + 70 + PRQ = 180  

PRQ = 180 - 115

PRQ = 65

Answer 2

Answer:

Step-by-step explanation:

Given that

  SPR = 135 and PQT = 110

  Now, SPR + QPR = 180             (linear pair angles)

   135 + QPR = 180  

   QPR = 45                          

  Also, PQT + PQR = 180             (linear pair angles)

   110 + PQR = 180

  PQR = 70      

  As we know that sum of all interior angles of a triangle is 180, so, for PQR  

QPR + PQR + PRQ = 180  

45 + 70 + PRQ = 180  

PRQ = 180 - 115

PRQ = 65