Question

two alternative sides of a rectangle polygon , when produced to , meet 120°. find exterior angles and number of sides.

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Answer 1

Answer:

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=45o

Therefore, exterior angle of the polygon = 45o

Exterior angle of a regular polygon = n360o

=>45o=n360o

=>n=8 

Number of sides of the polygon = 8

Answer 2

Answer:

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