A conjecture and the paragraph proof used to prove the conjecture are shown. Given: J K L M is a parallelogram. Angle two is congruent to angle 3. Prove: angle 1 is congruent to angle 3. Parallelogram J K L M with an interior angle at vertex M labeled as 1. The horizontal side ML extended horizontally right forming an exterior angle labeled as 2. A ray extended diagonally down to the left from ML through midpoint of ray forming an exterior angle labeled as 3.

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It is given that JKLM is a parallelogram, so JM¯¯¯¯¯¯∥KL¯¯¯¯¯ by the Response area. Therefore, ∠1 ≅∠2 by the corresponding angles postulate. Also, it is given that Response area ≅∠3, so ∠1≅ Response area by the Response area.

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