Answer:
(C)51.4 degrees
Step-by-step explanation:
The sum of the exterior angle of a polygon is 360 degrees. (one complete revolution).
Given a regular polygon, the sum of each exterior angle is calculated using the formula:
[tex]\dfrac{360^\circ}{n}[/tex] where n is the number of sides.
The regular polygon shown made by the ant has 7 sides.
Therefore:
Each exterior angle [tex]=\dfrac{360^\circ}{7}=51.43^\circ[/tex]
Therefore:
The value of A correct to 1 decimal place is 51.4 degrees.
The correct option is C.
Answer:
The correct value of A to 1 decimal place is [tex]51.4^o[/tex].
Step-by-step explanation:
Given information:
The ant repeats the two steps 7 times going around the polygon
The sum of the exterior angle of polygon is [tex]360^o[/tex]
The formula for the exterior angle is
[tex]= 360/n[/tex]
Here,
[tex]n=7[/tex]
Hence, the Value of A will be
[tex]A=360/7\\A=51.4^o[/tex]
The correct value of A to 1 decimal place is [tex]51.4^o[/tex].
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https://brainly.com/question/21212890
