Quadrilateral Angles Worksheet

If you're an elementary school teacher or a parent looking for a helpful resource to reinforce the concept of quadrilateral angles with your students or children, this Quadrilateral Angles Worksheet is designed to meet your needs.

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What is the sum of the interior angles of a quadrilateral?

The sum of the interior angles of a quadrilateral is always 360 degrees.

How many pairs of opposite angles does a quadrilateral have?

A quadrilateral has two pairs of opposite angles.

What is the measure of each angle in a rectangle?

In a rectangle, each of the four angles measures 90 degrees.

What is the measure of each angle in a parallelogram?

In a parallelogram, each pair of opposite angles are congruent. Therefore, the measure of each angle in a parallelogram is 180 degrees.

What is the measure of each angle in a trapezoid?

The sum of the four angles in a trapezoid is always 360 degrees. In a trapezoid, two opposite angles are equal in measure, while the other two opposite angles are not equal. Therefore, the measure of each angle in a trapezoid can vary based on the specific shape and properties of the trapezoid.

How does the sum of the angles in a rhombus compare to the sum in a parallelogram?

In a rhombus, the sum of the angles is always 360 degrees, as with any quadrilateral. However, in a parallelogram, the sum of the angles is also 360 degrees, as it is a special case of a quadrilateral where opposite angles are equal. Hence, both the rhombus and parallelogram have the same total sum of interior angles.

How are the angles in a kite different from those in a rectangle?

The angles in a kite are not necessarily congruent, unlike a rectangle where all angles are right angles or 90 degrees. In a kite, the two pairs of adjacent angles may differ in measure. Additionally, the sum of the angles in a kite will always equal 360 degrees, but in a rectangle, the sum of the angles is always 360 degrees as well since it has four 90-degree angles.

What is the relationship between the angles in an isosceles trapezoid?

In an isosceles trapezoid, the base angles (angles that share a base but are not adjacent to each other) are congruent, meaning they have the same measure. This is because the two non-parallel sides of an isosceles trapezoid are of equal length, creating symmetry in the trapezoid's angles.

What is the measure of each angle in a square?

In a square, each angle measures 90 degrees.

What is the relationship between the angles in a quadrilateral with one pair of opposite angles that are supplementary?

In a quadrilateral with one pair of opposite angles that are supplementary, the sum of the measures of the two opposite angles will be 180 degrees. This relationship stems from the property that the sum of the interior angles of a quadrilateral is always 360 degrees. Thus, if one pair of opposite angles is supplementary, the other pair of opposite angles must also be supplementary to ensure that the total sum remains 360 degrees.