Question

2. The ratio between exterior angle and interior angle of a regular polygon is 1 : 5. Find the number of sides of the polygon.

Answer 1

Answer:

Let interior angle measures 5x°

Let exterior angle measures x°

Therefore, sum = 5x°+x°=6x°

We know that,

Exterior angle + interior angle=180°

or, 6x°=180°

or, x=30°

Therefore, 5x°=150°

Therefore,

Number of sides = 360/exterior angle

Or, number of sides = 360/30

=12

Therefore number of sides=12

Step-by-step explanation:

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