Question

Fill in the missing statement and reason in the proof of the corresponding angles theorem.

Answer 1

It is given that AB is parallel to CD and the points E, G, H and F are collinear.

The measure of angle EGF is 180 degrees.

Now,

Angle AGE+angle AGF=180 degrees.

So, it happends using the addition property of equality.

Now, angle AGF and CHF are the same side interior angle.

Therefore, the correct option is (D)