What is the measure of the angles in a quadrilateral?

What is the measure of the angles in a quadrilateral?

• A. 360 degrees
• B. 180 degrees
• C. 270 degrees
• D. 90 degrees

Answer: (A)

The measure of the angles in a quadrilateral is indeed 360 degrees. This is based on the property that the sum of the interior angles of any polygon can be calculated using the formula \( (n - 2) \times 180 \), where \( n \) is the number of sides. For a quadrilateral, which has four sides, the calculation becomes \( (4 - 2) \times 180 = 2 \times 180 = 360 \) degrees. This total of 360 degrees applies regardless of the type of quadrilateral—be it a square, rectangle, trapezoid, or any other four-sided figure. Hence, knowing this fact is crucial in solving problems related to quadrilaterals, as it allows for accurate assessments of angle measures when provided with various geometric contexts. The other options represent measures that do not relate to the total angles present in a four-sided figure.

The measure of the angles in a quadrilateral is indeed 360 degrees. This is based on the property that the sum of the interior angles of any polygon can be calculated using the formula ( (n - 2) \times 180 ), where ( n ) is the number of sides. For a quadrilateral, which has four sides, the calculation becomes ( (4 - 2) \times 180 = 2 \times 180 = 360 ) degrees.

This total of 360 degrees applies regardless of the type of quadrilateral—be it a square, rectangle, trapezoid, or any other four-sided figure. Hence, knowing this fact is crucial in solving problems related to quadrilaterals, as it allows for accurate assessments of angle measures when provided with various geometric contexts. The other options represent measures that do not relate to the total angles present in a four-sided figure.