Question

find x and y in parallelogram ABCD D = 75 degree c= x b=y​

Answer 1

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

∘

. Then, ∠BCD = 75

∘

---- (1)

⇒ ∠DBC = 60

∘

---- ( 2 ) (Given)

⇒ In △DCB,

⇒ ∠BDC + ∠BCD + ∠DBC = 180

∘

⇒ ∠BDC + 75

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+ 60

∘

= 180

∘

[From (1) and (2) ]

⇒ ∠BDC = 180

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- 135

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∴ ∠BDC=45

∘

hope it helps you