Question

The size of each interior angle of a regular polygon with n n sides is 140° Work out the size of each interior angle of a regular polygon with 2n sides.

Answer 1

Answer:

  160°

Step-by-step explanation:

The corresponding exterior angle is 180°-140° = 40°. When the polygon has 2n sides, that angle will be cut in half to 20°. The interior angle of that polygon will be 180°-20° = 160°.

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The exterior angles always sum to 360°. Since their sum is a constant, doubling the number of them will cut their measure in half.