FTCE General Knowledge Math Practice Test

How are the angles of a quadrilateral related?

1. The sum of the angles is 180 degrees

2. The sum of the angles is 360 degrees

3. All angles must be equal

4. There are no specific angle requirements

The correct answer is: The sum of the angles is 360 degrees

The relationship between the angles of a quadrilateral is that the sum of all four interior angles is always 360 degrees. This can be understood through the concept of dividing the quadrilateral into two triangles. Each triangle has a sum of interior angles equal to 180 degrees, and since a quadrilateral can be divided into two triangles, you add the angle sums together (180 degrees + 180 degrees), resulting in 360 degrees. This property applies to all types of quadrilaterals, regardless of the lengths of the sides or the measures of the angles. The option stating that the sum of the angles is 180 degrees applies to triangles, not quadrilaterals. The choice suggesting all angles must be equal refers specifically to a square or a rectangle, which are types of quadrilaterals but do not apply to all quadrilaterals in general. The last option indicates that there are no specific angle requirements, which is not accurate since the sum of the angles is definitively defined as 360 degrees for all quadrilaterals.