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Let us consider ∠A=4x and
∠D=5x
Since, AB∣∣DC
So,
∠A+∠D=180o
Substituting the value of angle A and D, we get
4x+5x=180%o
9x=180o
x=20o
Now
∠A=4x=4×20o
=80o
∠D=5x=5×20o
=100o
Similarly since, AB∣∣DC
∠B+∠C=180o
7x+5o=180o
7x=180o−5o
7x=175o
We get,
x=25o
∠B=3x−15o=3×25o−15o
=75o−15o
=60o nad
∠C=4x+20o=4x×25
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