Respuesta :

Answer:

m∠B is 55°.

Step-by-step explanation:

Given,

AD║CB

AB║CD

∠A = 125°

We have to find ∠B.

Solution,

Since AD║CB and AB║CD.

So we can say that the given figure is a parallelogram.

And according to the property of parallelogram, each pair of consecutive angles are supplementary.

So we can frame it as;

[tex]\angle A+\angle B=180\°[/tex]

Now we substitute the given value and get;

[tex]125\°+\angle B=180\°\\\\\angle B=180\°-125\°\\\\\angle B=55\°[/tex]

Hence m∠B is 55°.

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