Question

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

measures of the quadrilateral?

Answer 1

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?

Answer:

1. 360 degrees

2. Angle C

3. 360 degrees

4. 360 degrees

Step-by-step explanation:

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

Therefore:

`S$um of its angles =\angle A+ \angle B+ \angle C+\angle D\\=90^\circ+90^\circ+90^\circ+90^\circ\\=360^\circ`

(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.