Question

18 Two alternate sides of a regular polygon,
when produced, meet at right angle. Calculate
the number of sides in the polygon.​

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=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

Step-by-step explanation:

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