What word describes the relationship between opposite angles of a parallelogram?

The word that describes the relationship between opposite angles of a parallelogram is " congruent ," indicating that these angles have the same measure.
The word that describes the relationship between opposite angles of a parallelogram is "congruent."
In a parallelogram , opposite angles are congruent, meaning they have the same measure.
This property is a consequence of the parallel sides in a parallelogram.
When two parallel lines are **intersected **by a transversal, such as the sides of a parallelogram, several pairs of angles are formed.
Opposite angles, also known as alternate angles or vertical angles, are formed by the intersection of the diagonals wit hin the parallelogram.
By definition, vertical angles are congruent.
This means that opposite angles in a parallelogram have equal measures.
If one opposite angle is x degrees, then the other opposite angle will also be x degrees.
This property holds true for all parallelograms, regardless of the specific dimensions or shape of the parallelogram.
Whether the parallelogram is a rectangle , a square, or a rhombus, the relationship between opposite angles remains the same.
Understanding this relationship allows us to use the congruence of opposite angles as a tool in solving problems involving angles within a parallelogram.
It provides a basis for making geometric deductions and calculations based on the equality of angle measures.
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Answered by shahupayal102 | 2024-06-17

The relationship between opposite angles of a parallelogram is described as "congruent," meaning they have the same measure. This congruency is a fundamental property of parallelograms, where opposite angles always equal each other. For example, if one angle is 60 degrees, the opposite angle will also be 60 degrees.
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Answered by shahupayal102 | 2025-01-10