Answer:

I Hope Sum is Correct

Step-by-step explanation:

Take The Sum As Common And Have The Supplinentry 180 applied :D

Verified answer

Step-by-step explanation:

∠A:∠D=3:7

Let ∠A and ∠D be 3x and 7x.

⇒  ∠B:∠C=9:6

Let ∠A and ∠D be 9y and 6y.

Since, AB∥CD and AD is a transversal.

∴  ∠A+∠D=180o.           [ Interior angles on same side of transversal ]

⇒  3x+7x=180o.

⇒  10x=180o.

⇒  x=18o

⇒  ∠A=3×18o=54o

⇒  ∠D=7×18o=126o.

Since, AB∥CD and BC is a transversal.

∴  ∠B+∠C=180o.              [ Interior angles on same side of transversal ]

⇒  9y+6y=180o

⇒  15y=180o

∴  y=12o

⇒  ∠B=9×12o=108o

=> ∠C=6×12o=72o

Here o is degree.

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