## HELP I WILL GIVE BRAINLIEST Prove that in parallelogram both pairs of opposite angles are congruent (Theorem). Please provide an

Question

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## Answers ( )

Explanation:Statements are numbered; reasons are in italics.

1. ABCD is a parallelogram with AB≅CD and BC≅AD.

Given; definition of a parallelogram.2. Diagonal AC ≅ diagonal CA.

Reflexive property of congruence.3. ΔABC ≅ ΔCDA.

SSS congruence postulate.4. ∠B ≅ ∠D.

CPCTC. (Opposite angles B and D are congruent.)5. Diagonal BD ≅ diagonal DB.

Reflexive property of congruence.6. ΔABD ≅ ΔCDB.

SSS congruence postulate.7. ∠A ≅ ∠C.

CPCTC. (Opposite angles A and C are congruent.)