Move vertex B to a different location. What is the sum of the angle measures of the quadrilateral?

Completed Question

Rectangle ABCD has four right angles.  (1)What is the sum of its angle measures? (2)Move vertex A to a different location. Which vertex angle remains  unchanged? (3)What is the sum of the angle measures of the quadrilateral?  (4) Move vertex B to a different location. What is the sum of the  angle measures of the quadrilateral?

1. 360 degrees

2. Angle C

3. 360 degrees

4. 360 degrees

Explanation:

(1)By the properties of a rectangle, each of its angles is 90 degrees.

Therefore:

(2)If we move vertex A to a different location, the two adjacent angles( B and D will change). Angle C however will not change as can be seen in the attached diagram.

(3 and 4)

The sum of the angle in a quadrilateral is always 360 degrees.

Therefore, the answer to Questions 3 and 4 is 360 degrees.