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

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HELP I WILL GIVE BRAINLIEST

Prove that in parallelogram both pairs of opposite angles are congruent (Theorem). Please provide an answer in the “statement and reason” format.

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Margaret 4 weeks 2021-11-10T02:18:03+00:00 1 Answer 0 views 0

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    2021-11-10T02:19:06+00:00

    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.)

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45:7+7-4:2-5:5*4+35:2 =? ( )