If it is a regular polygon then it will have 10 sides
It will have 10 sides and it is a decagon
It is a decagon (10 sides) because if the interior angle is 144° then the exterior is 36°. 360 Divided by 36 is 10 and so it is a decagon.
interior angle = (sides - 2) * 180 / sides sides * interior angle = 180 * sides - 360 sides * (interior angle - 180) = -360 sides = -360 / (interior angle - 180) sides = 360 / (180 - interior angle) So, for 144 degrees: sides = 360 / 36 = 10
A regular polygon with interior angles of 144 degrees has 10 sides. Using the fact that a regular n-gon has interior angles of degree (n-2)*180/n, you can solve for the number of sides fairly easily.
180-144 = 36 and 360/36 = 10 sides
If it is a regular polygon then it will have 10 sides
It will have 10 sides and it is a decagon
To find the interior angle of any polygon. Exterior Angle = 360 / n ( the number of sides) Interior angle = 180 - exterior angle. So for a decagon ( 10 sides) Ext angle = 360 / 10 = 36 Int angle = 180 - 36 = 144.
It is a decagon (10 sides) because if the interior angle is 144° then the exterior is 36°. 360 Divided by 36 is 10 and so it is a decagon.
It will have 10 sides and it is a regular decagon with each interior angle measuring 144 degrees
A regular decagon, or 10-sided polygon, has interior angles of 144
144 degrees Angles on a straight line = 180 degrees 180-36 = 144 degrees
We have the interior angle 144∘ . We can find the number of sides using the formula as follows. Thus, the polygon has 10 angles and 10 sides.
Providing it is a regular decagon of 10 sides then:- Each exterior angle: 36 degrees Each interior angle: 144 degrees
It will have 10 equal sides
Each exterior angle 36 degrees Each interior angle 144 degrees A decagon has 10 sides