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If O Is the Centre of the Circle, Find the Value Of X in the Following Figures. - Mathematics

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Question

If O is the centre of the circle, find the value of x in the following figures.

Answer in Brief

Solution

 ∠ABC =  ∠ACD = 40°              (Angle in the same segment)

In  Δ PCD  we have

∠CPD + ∠PCD + ∠PDC = 180° 

     40 ° + 110 ° + ∠PDC = 180° 

                            ∠PDC = 180° -150° 

                                      =30° 

Hence X = 30 ° 

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Chapter 15: Circles - Exercise 15.4 [Page 72]

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RD Sharma Mathematics [English] Class 9
Chapter 15 Circles
Exercise 15.4 | Q 3.11 | Page 72

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