Question

If BP||DC and <ACD=76' Find (1) <ABD (2) <CAP (3) <BDC​

Answer 1

Step-by-step explanation:

⇒ Let given quadrilateral ABCD is a parallelogram.

⇒ Then, AB∥CD and AD∥BC (Opposite sides of parallelogram are parallel)

⇒ ∠DAB = ∠BCD (Opposite angles of parallelogram are equal)

⇒ Since, it's given that ∠DAB =75

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. Then, ∠BCD = 75

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---- (1)

⇒ ∠DBC = 60

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---- ( 2 ) (Given)

⇒ In △DCB,

⇒ ∠BDC + ∠BCD + ∠DBC = 180

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⇒ ∠BDC + 75

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+ 60

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= 180

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[From (1) and (2) ]

⇒ ∠BDC = 180

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- 135

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∴ ∠BDC=45

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