FTCE Professional Education Practice Exam

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Prepare for the FTCE Professional Education Test. Study with comprehensive flashcards and engaging multiple choice questions, each crafted with hints and detailed explanations. Enhance your confidence for success!

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What is the sum of the measures of the angles in a quadrilateral?

180 degrees
360 degrees
540 degrees
720 degrees

The correct answer is: 360 degrees

The sum of the measures of the angles in a quadrilateral is 360 degrees. This can be understood by considering that a quadrilateral can be divided into two triangles. Since the sum of the angles in a triangle is always 180 degrees, and there are two triangles in a quadrilateral, the calculation is straightforward: 180 degrees plus 180 degrees equals 360 degrees. This property holds true for any quadrilateral, regardless of its specific shape, as long as it is a four-sided figure. Understanding this fundamental geometrical fact is essential for solving various problems in geometry, particularly those involving polygons and angles. Other options reflect sums related to other polygon types or are simply incorrect for a quadrilateral context. Thus, the correct answer encapsulates a fundamental property of quadrilaterals in Euclidean geometry.