Another quadrilateral has all 4 sides of equal length, in 2 parallel pairs. The angle between 2 sides meeting at 1 vortex happens to be 142°. What is the official name for such a quadrilateral?

The quadrilateral described has all four sides of equal length, with two pairs of parallel sides and an interior angle of 142° at one vertex. This makes it a **rhombus**.

However, since the angle is not 90° (which would make it a square), it’s not a regular quadrilateral. Rhombuses can have angles that vary, as long as the sides remain equal and opposite angles are congruent.

In this case:
- One pair of opposite angles will be 142°.
- The other pair of opposite angles will be \(180° - 142° = 38°\).

Would you like further clarification on any point or a breakdown of the properties of rhombuses?

Here are some related questions to expand your understanding:
1. What is the formula for the area of a rhombus?
2. How do the diagonals of a rhombus behave in relation to each other?
3. How are the angles of a rhombus related to its diagonals?
4. What are the conditions under which a rhombus becomes a square?
5. How can you calculate the side length of a rhombus if the diagonals are given?

**Tip:** The diagonals of a rhombus bisect each other at right angles, creating four right-angled triangles.

Another quadrilateral has all 4 sides of equal length, in 2 parallel pairs. The angle between 2 sides meeting at 1 vertex happens to be 142°. What is the official name for such a quadrilateral?

Discover the properties of a rhombus where the interior angle is 142°. This problem explores key geometric concepts such as quadrilateral classification, angle properties, and the unique characteristics of rhombuses. Suitable for students in Grades 6-8.

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