हिंदी

In the given figure, if ΔACP ~ ΔDCP, then: - Mathematics

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प्रश्न

In the given figure, if ΔACP ~ ΔDCP, then:

विकल्प

  • ∠DCP = 60°

  • ∠DCP = 30°

  • ∠DCP = 90°

  • ∠DCP = 30°

MCQ
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उत्तर

∠DCP = 30°

Explanation:

Given: ΔACP ~ ΔDCP

In ΔACP:

∠CAP = 90°

∠APC = 60°

Using angle sum property in ΔACP:

∠ACP + ∠CAP + ∠APC = 180°

∠ACP + 90° + 60° = 180°

∠ACP = 180° – 150°

∠ACP = 30°

Since △ACP ∼ △DCP, the corresponding angles are equal:

∠DCP = ∠ACP

∠DCP = 30°

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