Question

An exterior angle and the interior angle of a regular polygon are in the ratio

Answer 1

Answer:

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

Step-by-step explanation:

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Answer 2

Given :

• exterior angle and the interior angle of a regular polygon are in the ratio

To find :

• the ratio

Solution :

• The Exterior angles of a regular polygon are 360°.
• The Interior angles of a regular polygon are 180°.

⇒ Now, let's find the Ratio of the exterior angle and the interior angle of a regular polygon.

→ 360 ÷ 2/180 ÷ 2

→ 180 ÷ 3/90 ÷ 3

→ 60 ÷ 5/30 ÷ 5

→ 12 ÷ 2/6 ÷ 2

→ 6 ÷ 3/3 ÷ 3

→ 2/1

→ 2:1

• Therefore, the exterior angle and the interior angle of a regular polygon are in the ratio of 2:1.