Question

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abcd is a parallelogram points p and q are taken on the sides ab bc and ad respectively and program p is formed if angle c is equal to 45 degree find angle r
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Answer 1

Answer;

As opposite sides of a parallelogram are parallel  

⇒AD∥BC

also AQ∥PR

⇒AD∥PR

⇒BC∥PR

Similarly QR∥DC⇒∠PRQ=∠BCD=40  Degree

AP∥QR⇒∠APR+∠PRQ=180  ( Internal angles)

⇒∠APR=140  Degree

∠R=40  Degree ∠P=140  Degree

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