Question

attachment below
Prove that the opposite angles of a parallelogram are congruent.

Answer 1

awww - just lost the lot

Answer 2

I'm working on it will scan it and then post it :-)

Answer 3

by definitionb - the opposite sides of a parallelogram are parallel
you can show that opposite angles 1 and 3 are equal by considering the equality
of parts of each angle (alternate angles when a line crosses two parallel lines)
eg angle bca = angle cad and angle and acd = bac
so opposite angles bcd and bad are equal

similar a rgument for other 2 opposite angles

Answer 4

angles x are alternate equal angles

Answer 5

thank you :D

Answer 6

yw

Answer 7

Sorry it takes so long to post solution with explanation. I'm in the process of setting up my computer wireless to my scanner...