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Answered

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ctangle is a parallelogram.
ave measures (x+4) ° and [3(x-20)] °. What
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es that a quadrilateral ABCD below is a
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Sagot :

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Answer:

The query asks whether a quadrilateral is a parallelogram. The quadrilateral ABCD is indeed a parallelogram. Here's a step-by-step explanation:

1. **Opposite sides are congruent**:

- AB ≅ CD

- AD ≅ BC

2. **Consecutive angles are supplementary**:

- ∠DAB and ∠ABC are supplementary.

- ∠ABC and ∠BCD are supplementary.

- ∠BCD and ∠CDA are supplementary.

- ∠CDA and ∠DAB are supplementary.

3. **Opposite angles are congruent**:

- ∠DAB ≅ ∠DCB

- ∠CBA ≅ ∠CDA

4. **Diagonals bisect each other**:

- O is the midpoint of BD.

- O is the midpoint of AC.

5. **Each diagonal divides the quadrilateral into two congruent triangles**:

- ΔABD ≅ ΔCBD

- ΔABC ≅ ΔADC