In Figure, A B C D and P is any point s...

In Figure, `A B C D` and `P` is any point shown in the figure. Prove that: `/_A B P+/_B P D+/_C D P=360^@`

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AB II CO II EF' (By Construction)
⇒ '` /_ABP + /_EPB = 180° `-------(1)'(co-interior angles are supplementry)
⇒`'/_CDP + /_EPD = 180°` --------(2) '(co-interior angles are supplementry)
Add equation '(1)' and '(2)',
⇒`( /_ABP + /_CDP+/_EPB + /_EPD = 180° +180°)`
⇒`/_ABP + /_CDP + /_BPD =360°`

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