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In the Figure, Given Alongside, Cp Bisects Angle Acb. Show that Dp Bisects Angle Adb. - ICSE Class 10 - Mathematics

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Question

In the figure, given alongside, CP bisects angle ACB. Show that DP bisects angle ADB.

Solution

Given – In the figure, CP is the bisector of ∠ABC
To prove – DP is the bisector of ∠ADB
Proof – Since CP is the bisector of ∠ACB
∴ ∠ACP = ∠BCP

But ∠ACP = ∠ADP  [Angle in the same segment

And ∠BCP = ∠BDP

But ∠ACP = ∠BCP
  ∴ ∠ADP = ∠BDP   

 ∴ DP is the bisector of ∠ADB

  Is there an error in this question or solution?
Solution In the Figure, Given Alongside, Cp Bisects Angle Acb. Show that Dp Bisects Angle Adb. Concept: Arc and Chord Properties - Angles in the Same Segment of a Circle Are Equal (Without Proof).
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