Could someone please help me?

Question

anonymous · Answer

attachment

lime · Answer

Alternate Interior angles are congruent when lines are parallel. Use Angle Addition Postulate.

lime · Answer

$$m \angle ABD+m \angle CBD=m \angle B $$

lime · Answer

$$\angle B \approx \angle D $$

lime · Answer

Or $$\angle A \approx \angle C$$

lime · Answer

I'm guessing you might have figured that out yourself. The key phrase is 'Alternate Interior angles are congruent when lines are parallel.'

anonymous · Answer

yeah. haha So like what else do I need to write to prove they are congruent?

anonymous · Answer

I searched all through the lesson and I can't find where they say Angles. I only do the sides! ?

lime · Answer

It's a property of parallelograms. That statement is really enough proof as it is. I would back that statement up with the diagram and equations; if the question pushes for more information.

anonymous · Answer

SO write "Alternate Interior angles are congruent when lines are parallel."??

lime · Answer

Opposite angles are congruent because correspondent angles on congruent triangles are congruent. Yes, Alternate Interior angles are congruent when lines are parallel. The question is referring to angles.

anonymous · Answer

Thank you.