Going round you turn 1/7th of a full revolution (2*pi/7) at each corner. (Or 360/7 degrees at each corner if you prefer units of degrees).
The interior angle is pi minus this amount of turn (or 180 degrees minus this amount of turn if you prefer).
Ther rest is pure arithmetic, which I won't insult your intelligence by doing for you.
Or will I.
360(1/2 - 1/7) = 360(7-2)/14 = 5*180/7 =128 4/7 ~= 129 degrees
~(3 2/7)(1/2-1/7) = 23/7 * (7-2)/14 = 115/98=117/98~=1.194 radians
A regular polygon having an interior angle measure of 168o has 30 sides and is called a triacontagon.
The measure of each interior angle of a fifteen sided regular polygon, a pendedecagon, is 156o.
If the measure of an interior angle of a regular polygon is 140o, the polygon is a nonagon (sometimes called an ennagon) having 9 sides.
The interior angle of an octdecagon, an 18 sided regular polygon, is 160o.
A regular polygon with 4 sides is a square. The measure of any interior angle of a square is 90 degrees.
A regular polygon having an interior angle measure of 168o has 30 sides and is called a triacontagon.
The measure of each interior angle of a fifteen sided regular polygon, a pendedecagon, is 156o.
If the measure of an interior angle of a regular polygon is 140o, the polygon is a nonagon (sometimes called an ennagon) having 9 sides.
The interior angle of an octdecagon, an 18 sided regular polygon, is 160o.
A regular polygon with 4 sides is a square. The measure of any interior angle of a square is 90 degrees.
Each interior angle will measure 162 degrees
A regular polygon with each interior angle measuring 120 degrees is a hexagon.
If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.
Providing that it is a regular polygon then each interior angle will measure 160 degrees
A regular hexagon.
A pentagon (five sided regular polygon) has interior angles of 108°.
How many sides does a regular polygon have if the measure of each interior angle is equal to 172 degress ?