Respuesta :
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
Explanation:
(1)By the properties of a rectangle, each of its angles is 90 degrees.
Therefore:
[tex]S$um of its angles =\angle A+ \angle B+ \angle C+\angle D\\=90^\circ+90^\circ+90^\circ+90^\circ\\=360^\circ[/tex]
(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.
