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655-705 (Hard)|   Geometry|      
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twobagels
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In triangle ABC, AB = AC. If there is a point P strictly between A and 11 Mar 2023, 15:18
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

65% (hard)

Question Stats:

58% (02:52) correct 42% (02:54) wrong based on 45 sessions

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In triangle ABC, AB = AC. If there is a point P strictly between A and B such that AP = PC = CB, then \(\angle\)A =
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B

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stne
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In triangle ABC, AB = AC. If there is a point P strictly between A and 15 Mar 2023, 13:16
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twobagels
In triangle ABC, AB = AC. If there is a point P strictly between A and B such that AP = PC = CB, then \(\angle\)A =
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Please refer to the fig. above:

All angles in same color are equal.

All angles in Orange are \(180-2x\)

All angles in Green are \(x\)

\(\angle\) PCB (in yellow) \( = x- (180-2x) = 3x-180\)

Therefore in \(\Delta \)PCB :

\( x+x+3x-180 = 180 \)

\(x= 72\)

\(\angle\) A \(= 180-2*72 = 180-144 = 36\)

Ans B

Hope it helps.
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In triangle ABC, AB = AC. If there is a point P strictly between A and 15 Aug 2024, 18:50
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