Question

Is my answer correct or should I add/delete some of it?

Answer 1

Prove that the opposite angles of a parallelogram are congruent.

Answer 2

My answer:

<1 & <3 are equal to each other because they are alternate interior angles.
<BAC & <DCA are both opposing as well.
Point E is the center of it all.

Answer 3

1 and 3 are not alternate interior angles. \(180 - \angle 2\) or \(180 - \angle 4\) is .

Answer 4

Ohhh. Anything else I should add to it though? (And thank you)

Answer 5

Use corresponding and alternate angles. Draw imaginary lines if you need to.

<BAC & <DCA are both opposing as well. <- No proof is shown in this step

Answer 6

I'm not allowed to draw any lines on the answer.

Answer 7

\[\angle BAC \cong \angle DCA,\angle DAC\cong\angle BCA\\m\angle BAC+m\angle DAC=m\angle DCA+m\angle BCA\\\angle BAD\cong\angle DCB \qquad \text{(the opposite angles)}\]