How would you complete the table?
number of sides: 3, 4, 5, 6
measure of angle: 60, 90, B, C
sum of angle measures:180, A, 540, D
a:A = 120º; B = 360º; C = 180º; D = 1080º
b:A = 210º; B = 180º; C = 270º; D = 720º
c:A = 360º; B = 108º; C = 120º; D = 720º
d:A = 180º; B = 270º; C = 360º; D = 720º
To complete the table, we need to determine the missing angle measures A, B, C, and D for each given number of sides.
Let's go through each option:
a: A = 120º; B = 360º; C = 180º; D = 1080º
In this option, the angles seem to be incorrect. The sum of the angle measures does not match the given numbers. So option a is incorrect.
b: A = 210º; B = 180º; C = 270º; D = 720º
In this option, the sum of angle measures given (720º) matches the sum of angle measures for a quadrilateral (4-sided polygon). Therefore, this option is correct. A quadrilateral has 4 sides, so the measure of angle A should be 210º.
c: A = 360º; B = 108º; C = 120º; D = 720º
In this option, the sum of angle measures given (720º) matches the sum of angle measures for a quadrilateral. Therefore, this option is also correct. A quadrilateral has 4 sides, so the measure of angle A should be 360º.
d: A = 180º; B = 270º; C = 360º; D = 720º
In this option, the sum of angle measures given (720º) matches the sum of angle measures for a quadrilateral. Therefore, this option is correct. A quadrilateral has 4 sides, so the measure of angle A should be 180º.
So, the correct answers for each option are:
a: Incorrect
b: A = 210º
c: A = 360º
d: A = 180º