Question

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Answer 1

Answer:

in triangle PQR,

angle Q = 70 degree

angle PRS = 105 dergrees

let angle QRP be angle 1, then;

angle 1+ 105 degree = 180 degree (linear pair)

angle 1 = (180 - 105) degrees

            = 75 degree

now, since we have angle Q = 70 degree, and

                                angle 1 = 75 degree  

let the unknown angle i.e. angle P be x degrees

now, angle (Q + 1 + x) = 180 degrees (angle sum proplerty of a triangle)

     (70 + 75 + x) degrees  = 180

      (145 + x )degrees = 180  

    x = (180 - 145)

       = 35 degrees

therefore angle P = 35°

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