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Geometrical properties of circle

  1. Dec 23, 2014 #1
    DSC_0008.JPG 1. The problem statement, all variables and given/known data
    Dear Mentors/PF helpers,

    Please help me with part (ii), I couldn't find a way through this part. DSC_0008.JPG

    2. Relevant equations


    3. The attempt at a solution
    My solutions:
    (i) angle RPS = 65 deg (angles in the same segment are equal)

    (iii) angle PRS = 110 - 65 = 45 ( exterior angle of triangle PSR equal two interior angles)
    angle PQS = angle PRS = 45 (angles in the same segment are equal)
     
  2. jcsd
  3. Dec 23, 2014 #2

    mfb

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    Staff: Mentor

    Hint: Introduce the point C as center of the circle XPS to use the "touching" information.
     
  4. Dec 23, 2014 #3
    DSC_0011.JPG
     
  5. Dec 24, 2014 #4

    mfb

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    2016 Award

    Staff: Mentor

    CSP should be PSC.

    That is the same result I got.
     
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