WebMar 24, 2024 · A regular polygon is an n-sided polygon in which the sides are all the same length and are symmetrically placed about a common center ... The sum of interior angles in any -gon is given by radians, or ... WebSolution: Given, each interior angle of a polygon is 108°. We have to find the number of sides of the polygon. Interior angle = 180° - exterior angle. Given, interior angle = 108°. So, 108° …
Each interior angle of a polygon is 108°. Find the number of sides …
WebAnswer (1 of 5): If the interior angle of a regular polygon is 108°, then what is it? Solution: Here are three methods. Method 1: If each interior angle of a regular polygon is 108°, … WebOct 25, 2016 · If you know the size of an exterior angle (θ) in a regular polygon you can find the number of sides: 360° ÷ θ = number of sides. If you know the number of sides (n) you can find the size of each exterior angle of a regular polygon. 360 ÷ n = θ. Interior angle 168° → exterior angle = 180° −168° = 12°. 360 ÷ 12° = 30 sides. red lake nation scholarship
Regular Polygon: Definition, Properties and Examples - Embibe …
WebDec 24, 2024 · A regular pentagon is a five-sided polygon with sides of equal length and interior angles of 108° (3π/5 rad). Because 5 is a Fermat prime, you can construct a regular pentagon using only a straightedge and compass. Draw a line segment AB. WebEach interior angle of a polygon is 108∘. How many sides does it have ? Q. How many sides does a regular polygon have if each of its interior angle is 165∘? WebJan 22, 2016 · The exterior angles have a sum of 360^@ =(4)90^@. The pentagon has 5 interior angles of 108^o and 5 exterior angles of 72^@. The exterior angles have a sum of 360^@ =(5)72^@. In order to find the value of the interior angle of a regular polygon, the equation is ((n-2)180^@)/n where n is the number of sides of the regular polygon. richard chamberlain dr kildare