Question

if in a regular polygon, inner angle are double of its outer angle,then. what is the measurement of an outer angle​

Answer 1

“If the interior doubles the exterior, then the interior is 120 and the exterior is 60.”

This is because each interior/exterior angle pair, by definition, adds up to 180°. If we assign x the measurement of the exterior angle, 2x+x=180°⟹x=180°3=60°2x+x=180°⟹x=180°3=60°, and the interior angle is then 2x=2(60°)=120°2x=2(60°)=120°

“If the exterior is 60 then you’re dealing with a hexagon - which has 6 sides.”

This is because the sum of the exterior angles of a polygon is 360°, so in the case of a regular polygon, where all exterior angles are equal, (exterior angle)(number of sides)=360°⟹n=360°60°=6⟹n=360°60°=6.

Answer 2

Answer:

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Step-by-step explanation:

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