SOLUTION: Question 1~ It is possible fot the interior ang;es of a regular polygon to measure 145 degrees. Choices A) True B) False Question 2~ Calculate the measure for each exter

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Question 35557: Question 1~ It is possible fot the interior ang;es of a regular polygon to measure 145 degrees.
Choices
A) True
B) False
Question 2~ Calculate the measure for each exterior angle of a regular nonagon.
Choices
A)20 degrees
B)40 degrees
C)140 degrees
D) 1260 degrees

Question 3~ Calculate the measure for each interior angle of a regular 15-gon.
Choices
A) 12 degrees
B) 24 degrees
C) 156 degrees
D) 2340 degrees
Answer by venugopalramana(3286) About Me  (Show Source):
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Question 1~ It is possible fot the interior ang;es of a regular polygon to measure 145 degrees.
FOMULA FOR INTERIOR ANGLE OF A REGULAR POLYGON OF N SIDES IS
ANGLE = (2N-4)*90/N....BY TRIAL & ERROR FOR N=10,WE GET A=(2*10-4)*90/10=16*90/10=144...AND FOR N=11...A=147.3..SO ANSWER IS B FALSE
Choices
A) True
B) False
Question 2~ Calculate the measure for each exterior angle of a regular nonagon.
Choices
A=(2*9-4)*90/9=140..SO EXTERIOR ANGLE = 180-140=40.......B IS THE ANSWER
A)20 degrees
B)40 degrees
C)140 degrees
D) 1260 degrees
Question 3~ Calculate the measure for each interior angle of a regular 15-gon.
Choices
A=(2*15-4)*90/15=156..C IS THE ANSWER
A) 12 degrees
B) 24 degrees
C) 156 degrees
D) 2340 degrees