Question

ADIICB
AB||CD
MZA = 125
Find m2B
Number answer only. help​

Answer 1

m∠B is 55°.

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;

`\angle A+\angle B=180\°`

Now we substitute the given value and get;

`125\°+\angle B=180\°\\\\\angle B=180\°-125\°\\\\\angle B=55\°`

Hence m∠B is 55°.