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

In the figure, given below, CP bisects angle ACB. Show that DP bisects angle ADB. Circles, Concise Mathematics Solutions ICSE Class 10.

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Answer

Since, CP is the bisector of ∠ACB,

∴ ∠ACP = ∠BCP ………(1)

We know that,

Angles in same segment are equal.

∴ ∠ACP = ∠ADP ……….(2)

∠BCP = ∠BDP ………..(3)

From (1) and (2) we get,

∠BCP = ∠ADP ………..(4)

From (3) and (4) we get,

∠ADP = ∠BDP.

∴ DP is the bisector of ∠ADB.

Hence, proved that DP is the bisector of ∠ADB.

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