Two alternate sides of a regular polygon, when produced, meet at right angle. Calculate the number of sides in the polygon.
Answers
Answered by
2
Answer:
4 should be the answer in my opinion
Answered by
2
Answer:
Correct option is
B
8
In a regular polygon all the exterior angles have the same measure.
When two alternate sides of a polygon are extended a triangle.
If AB, BC and CD are the sides of a regular polygon and AB and CD when produced meet at P forming a right triangle.
Now, in △CPB,∠PCB=∠PBC=45
o
Therefore, exterior angle of the polygon = 45
o
Exterior angle of a regular polygon =
n
360
o
=>45
o
=
n
360
o
=>n=8
Number of sides of the polygon = 8
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