LET ∠DBP = ∠PBC = a°And ALSO ∠ECP + ∠PCB = b°∠ABC = 180° - 2a° and ∠ACB = 180° - 2b°In ΔABC,180° - 2a° + 72° + 180° - 2b° = 180°a° + b° = 126°In ΔPBC,a° + b° + x° = 180°x° = 180° - 126° = 54°∠BPC = 90° - (1/2) × ∠AHere, ∠A = 72° ∴ ∠BPC = 90° - (1/2) × 72° ⇒ ∠BPC = 90° - 36° = 54° "> LET ∠DBP = ∠PBC = a°And ALSO ∠ECP + ∠PCB = b°∠ABC = 180° - 2a° and ∠ACB = 180° - 2b°In ΔABC,180° - 2a° + 72° + 180° - 2b° = 180°a° + b° = 126°In ΔPBC,a° + b° + x° = 180°x° = 180° - 126° = 54°∠BPC = 90° - (1/2) × ∠AHere, ∠A = 72° ∴ ∠BPC = 90° - (1/2) × 72° ⇒ ∠BPC = 90° - 36° = 54° ">
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The sides AB and AC of ΔABC are produced to points D and E, respectively. The bisectors of ∠CBD and ∠BCE meet at P. If ∠A = 72°, then the measure of ∠P is:

General Knowledge General Awareness in General Knowledge . 6 months ago

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LET ∠DBP = ∠PBC = a°And ALSO ∠ECP + ∠PCB = b°∠ABC = 180° - 2a° and ∠ACB = 180° - 2b°In ΔABC,180° - 2a° + 72° + 180° - 2b° = 180°a° + b° = 126°In ΔPBC,a° + b° + x° = 180°x° = 180° - 126° = 54°∠BPC = 90° - (1/2) × ∠AHere, ∠A = 72° ∴ ∠BPC = 90° - (1/2) × 72° ⇒ ∠BPC = 90° - 36° = 54°
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Posted on 30 Nov 2024, this text provides information on General Knowledge related to General Awareness in General Knowledge. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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