Question

In any regular polygon interior angle is double of the exterior angle. Find the sides of the polygon.

Answer 1

Answer:

6 sides, So each interior angle will be 120° and each exterior angle will be 240° (which just double of the interior angle.)

Answer 2

QUESTION:

In any regular polygon interior angle is double of the exterior angle. Find the sides of the polygon.

GIVEN:

In any regular polygon interior angle is double of the exterior angle.

TO FIND:

the sides of the polygon

SOLUTION:

Let exterior angle be x

Then, interior angle will be 2x

$x + 2x = 180 \degree \\ \: \: \: \: \: \: \: \: 3x = 180 \degree \\ \: \: \: \: \: \: \: \: \: \: x = 60 \degree$

$Now \: side = \frac{360}{60} \\ side = 6$

HOPE THIS HELPS YOU

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