To find the measure of an interior angle in a regular 20-gon, you can use the formula ((n-2) \times \frac{180}{n}), where (n) is the number of sides. For a 20-gon, this becomes ((20-2) \times \frac{180}{20} = 18 \times 9 = 162) degrees. Therefore, each interior angle of a regular 20-gon measures 162 degrees.
In a regular polygon, the measure of the exterior angle is related to the interior angle by the equation: exterior angle = 180° - interior angle. If the exterior angle is twice the measure of the interior angle, we can set up the equation: exterior angle = 2 × interior angle. Solving this gives us the equation: 180° - interior angle = 2 × interior angle, leading to 180° = 3 × interior angle, or interior angle = 60°. This corresponds to a regular hexagon, as it has interior angles of 120° and exterior angles of 60°.
Each interior angle will measure 162 degrees
It is: 180-exterior angle = interior angle because there are 180 degrees on a straight line
120°
A regular trapezoid (!) is a square. And each interior angle of a square is 90 degrees.
Each interior angle will measure 162 degrees
The measure of each interior angle of a fifteen sided regular polygon, a pendedecagon, is 156o.
It is: 180-exterior angle = interior angle because there are 180 degrees on a straight line
144
120°
135 Each interior angle of a regular octagon measures 135 degrees.
A regular trapezoid (!) is a square. And each interior angle of a square is 90 degrees.
Each interior angle of a regular 8 sided octagon measures 135 degrees
Each interior angle of a regular 9 sided nonagon measures 140 degrees
A regular polygon having an interior angle measure of 168o has 30 sides and is called a triacontagon.
It will have 14 sides and each interior angle will measure 2160/14 degrees
Each interior angle measures 135 degrees