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

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.)

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

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125.28

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